How to find the floor area in square meters. How to calculate the area of a room in square meters
If you decide to make repairs in an apartment or house, first of all, you need to choose materials for finishing and understand how many of them you need. To do this, you need to correctly calculate the area of all surfaces in the apartment. Of course, you can resort to the help of professionals, while spending extra money. And you can do it yourself. How to calculate the area of a room different shapes, this article is devoted to.
Read in the article
Why is it necessary to know the area of \u200b\u200bthe room and what is required for calculations?
In what cases is it necessary to calculate the area of \u200b\u200bthe room?
- Of course, first of all, to determine the quantity Supplies for repair. Many people buy them with a margin, and return the surplus to the store. However, in this case, a lot of time is lost, moreover, not all stores provide such a service. Therefore, it is more expedient to correctly calculate the area of \u200b\u200ball surfaces before shopping.
- In addition, knowing the area, it is easier to plan your budget. After all, even the cost of the work of employees in most cases depends on how many square meters they have to process.
- Quantity lighting fixtures also depends on the area. However, in most cases, complex calculations are not resorted to when choosing fixtures, this question usually solved empirically.
- And the last. One of the main values in the apartment is the volume of the premises (in this case, it is necessary to multiply the area by the height), because depending on it, climatic equipment is selected.
Important! Be sure to check the area when buying an apartment, especially if you bought it in a new building. After all, the size of utility bills and often the cost of the living space itself depend on it. For example, the developer (in the case of equity participation in construction) is obliged to reimburse the cost of the missing square meters.
Thus, there are a huge number of reasons why it is necessary to correctly calculate the area of \u200b\u200bthe room. But where to start? First you need to prepare the measured room and tools.
It is desirable to carry out measurements in a completely vacant room. If this is not possible, clear at least the areas near the walls, because it is along them that measurements will be taken.
Important! If the room is rectangular, check the correctness of its shape before starting measurements. To do this, compare opposite diagonals. If they are equal, you have a regular equilateral rectangle.
So, to determine the area of \u200b\u200bthe room, the following devices are needed:
- Roulette. Of course, the electronic device is more convenient, but it has a large error. In addition, complex shapes cannot be measured with such a tape measure; problems can also arise when working with protruding elements. Therefore, the optimal set is a simple tape measure and a ruler. The main thing is to check their accuracy, since many old or children's devices have a decent error.
- Pencil.
- A sheet of paper for calculations and recording results.
- Calculator.
In addition, you may need a long ruler to check the evenness of the walls.
How to calculate square meter?
In square meters, in most cases, the area of \u200b\u200bany surface is calculated. So how to calculate square meter?
To begin with, if the room is rectangular, you need to measure its length and width. In this case, it is desirable to use a tape measure with applied divisions of centimeters and millimeters. If you can only find a ruler with feet, it doesn't matter, they can be easily converted to square meters.
Further, the two obtained values \u200b\u200bin centimeters are converted into meters (it’s easier to do it right away) by dividing by 100. Then the two values \u200b\u200bare multiplied, the resulting value is the area of \u200b\u200bthe room in square meters. If you have feet, first multiply the resulting values, so you get square feet. Then, to convert to m 2, multiply the resulting value by 0.093 (if the measurements were made in yards, multiply the result by 0.84). In this case, to calculate square meters, a calculator - perfect solution.
Interesting! On the Internet, there are many online square meters calculators for calculating the area of \u200b\u200bthe room. If a computer is at hand, this method will be the fastest.
When the figure is received, round it up to 2 decimal places, more exact value will be redundant.
How to calculate the area of a room yourself?
An ideal rectangular room is a rarity. How to find out the area of a room with ledges, niches or curved bevels? The simplest thing is to measure the lengths of all the walls, as well as the angles between them, and then draw a plan of your room on a piece of paper (the scale will most likely fit 1:100, that is, one meter in the room will correspond to one centimeter on paper) . Then you need to divide the room into correct figures(rectangles, triangles, circles, and so on), if possible, and using the area formulas, determine the quadrature of each section.
Below are the most popular figures, descriptions of the calculation methods of which will help answer the question: "How to calculate the area of \u200b\u200bthe room yourself?".
How to find the area of a rectangle?
How to calculate the area of a rectangle yourself? A regular rectangular room is the simplest case. To calculate the area of a rectangle, simply multiply its length and width. However, there are also some nuances in this situation:
- After measuring one of the sides, the second must be measured strictly perpendicular. Otherwise, measurements can be obtained with a significant error.
- To avoid inaccuracies, measure both parallel walls, since often their lengths are somewhat different, and for accuracy it is desirable to take their arithmetic mean. That is, add their values and divide by 2.
- Do not forget to subtract all kinds of protrusions from the resulting area (or add niches).
Interesting! There are many programs on the Internet for calculating the area of a rectangle, the online calculator is the simplest and most convenient of them.
Calculator for calculating the area of a quadrangular room
Perhaps each of us has a moment when the following question arises: “How to calculate the square meters of a room or plot?”. This problem can be easily solved with the help of the school science of geometry.
When you may need to measure area
In some cases, you need to quickly figure out how to calculate square meters in a certain area. Basically, this task is set for people who started repairs. Correct calculation of the area of \u200b\u200bthe room will help calculate the amount of necessary building materials. Basically, the question of how to calculate the square meters of a room or the whole house arises if it is planned:
- flooring replacement;
- laying heat or waterproofing;
- dismantling or installation of parquet flooring;
- general overhaul;
- home remodeling.
Measuring the area of rectangular rooms
This classic task, as a rule, does not raise questions like “How to calculate square meters correctly?”. From the school bench, the rule is well known, according to which the area of \u200b\u200ba rectangle is equal to the product of its adjacent sides. Therefore, to calculate the area of a room, it is enough to multiply the lengths of the walls that have a common angle. For example, a room with side lengths of 3m and 4m would have an area of 12m2. In the case of a square room, measuring the area will not be difficult at all - it is enough to multiply the length of one of the sides of the square room by itself. The same will be the answer to the question of how to calculate the square meters of the wall.
Area of triangular rooms. In houses of an old or individual construction, such triangular nooks are found. If the room resembles a right triangle, the question of how to calculate square meters does not arise. Everyone remembers that the area of a right triangle is half the product of its legs.
If the triangle is non-standard, use the building level to lower the height from the widest angle to the opposite side. As a result, we get two right-angled triangles and calculate their areas.
Measuring the area of an irregular polygon
The complex layouts of modern buildings or the "crooked eyes" of builders lead to the appearance of premises non-standard layout. The most common case is a room that resembles a trapezoid. In the event of such a disaster, geometry will again come to the rescue.
Two opposite sides trapezoids are parallel to each other. Let's draw from the corners of the smaller side of the height, descending to the larger one. In plan, the resulting figure will look like this:
The figure clearly shows that the trapezoid, in fact, is a rectangle with two triangles on the sides. We already know how to calculate the square meters of a rectangle. We can also determine the areas of two right triangles. As a result, the area of the trapezoid will consist of the sums of the areas of the rectangle and two triangles.
Complex figures
In new apartments, the flights of thought of architects lead to the appearance of rounded surfaces, where convex or concave walls describe smooth curves, and the floor, in turn, is a projection of the architect's creation and a headache for the owner. How to correctly calculate the square meter of the surface in this case?
Let's go back to the school course of mathematical sciences. First of all, remember that the area of a circle can be calculated using this wonderful formula:
S= π R2
In particularly difficult cases, even the magic number Pi will not help. To calculate the areas of complex figures, you will have to resort to integrals.
Scared? Not worth it. Integrals in mathematics are the sum of many small particles. It costs you nothing to break the measured surface into narrow strips, which are simplified rectangles. In the case of a small width of such a rectangle, the curvature at its base can be neglected. The resulting figure will look something like this:
We calculate the areas of each rectangle, sum their values, and the area of \u200b\u200bthe complex surface was calculated by us without any hassle.
How to take measurements
Ideally, you need to free the apartment from furniture and run around it with a tape measure. Since this is possible only in the case of moving to a new place of residence, we act differently. Firstly, you can measure the area of \u200b\u200bthe room along the ceiling, sincerely hoping for the parallelism of the planes of the ceiling and floor. Ceiling area can be determined by the methods described above.
The second way is to determine the perimeter of the room by measuring the length of its walls at the same height. To do this, you can use a paint thread, pulling it along the walls at the same height.
As you can see, the school geometry course is not so useless as we thought before. The knowledge gained turned out to be quite practical and helped us calculate the quadrature of our own home.
3 6 458 0Most often, this question is relevant to those who will have to do repairs in the near future. The quantity depends on the square meters of the room or apartment. necessary building materials. The cost of the robot repair masters also depends on the quadrature. Therefore, it is very important to learn how to calculate square meters of housing yourself. We will share with you some ways how to do it right. Following our advice, you can easily and very quickly learn how to do it yourself.
- Roulette is best used with a large supply of meter tape. For example, 10 meters. It's much more convenient. But if there is a tool of shorter length, it is not necessary to look for a replacement for it. You will only have to rearrange it more often. The main thing - do not miss the point where the footage ends.
- You may need help. The tape measure must be held or somehow fixed at the starting and following points.
- It is necessary to carry out a tape measure along the most even line. Otherwise, the calculations may be more. As a result - an incorrectly calculated quadrature of the room.
- Measure the perimeter of the walls along with the windows and the door. Then, separately calculating their dimensions, subtract from the total perimeter and get the quadrature of the room. It is faster and more convenient than measuring the room in small parts.
Place the beginning of the tape measure in one of the corners of the room (A). It should be fixed there. Pressing firmly against the wall, stretch a 10-meter tape (depending on your tape measure), stretch it to the second corner of the room(IN). Here, too, fix the tape measure or ask someone to hold it. Pass the tape measure to the next corner of the room (C).
It turns out that you measured the width and length of the room. Multiply the number that came out by 2.
For example: 9 meters * 2 \u003d 18 m - the total perimeter of the walls of the room.
The next step is the height of the walls. Measure with a tape measure from the ceiling (A) to the floor (B). The resulting figure is multiplied by the perimeter of the walls.
For example: The height of the walls is 3 meters. 3 m * 18 m = 54 m - the total area around the perimeter without subtracting window openings, doors.
If there are several windows of the same size in the room, it is enough to measure only one window. Using a tape measure, measure the width (A-B) and height (B-C) window slopes. We multiply both numbers.
For example: 2 m (window width) * 1.8 m (window height) = 3.6 m - window perimeter.
This online calculator helps to calculate, determine and calculate the area of land in online mode. The presented program is able to correctly suggest how to calculate the area land plots irregular shape.
Specify all data in meters
A B, D A, C D, B C- The size of each side of the plot.
According to the data entered, our program will calculate online and determine the area of land in square meters, acres, acres and hectares.
Method for determining the size of the site by manual method
There is no need to use complicated tools to correctly calculate the area of plots. We take wooden pegs or metal rods and set them in the corners of our yard. Next, using a measuring tape, we determine the width and length of the plot. As a rule, it is sufficient to measure one width and one length, for rectangular or equilateral areas. For example, we got the following data: width - 20 meters and length - 40 meters.
Next, we proceed to the calculation of the area of the plot. With the correct shape of the plot, you can use the geometric formula for determining the area (S) of the rectangle. According to this formula, you need to multiply the width (20) by the length (40), that is, the product of the lengths of the two sides. In our case, S=800 m².
After we have determined our area, we can determine the number of acres on the land. According to generally accepted data, in one hundred square meters - 100 m². Further, using simple arithmetic, we will divide our parameter S by 100. The finished result will become equal to the size of the plot in acres. For our example, this result is 8. Thus, we get that the area of the site is eight acres.
In the case when the land area is very large, it is best to perform all measurements in other units - in hectares. According to generally accepted units of measurement - 1 ha = 100 acres. For example, if our land plot, according to the measurements obtained, is 10,000 m², then in this case its area is 1 hectare or 100 acres.
If your area is not correct form, then in this case the number of acres directly depends on the area. It is for this reason that with the help of an online calculator you can correctly calculate the parameter S of the plot, and then dividing the result by 100. Thus, you will receive calculations in hundredths. This method makes it possible to measure plots of complex shapes, which is very convenient.
Total information
The calculation of the area of land plots is based on classical calculations, which are performed according to generally accepted geodetic formulas.
In total, several methods are available for calculating the area of land - mechanical (calculated according to the plan using measured palettes), graphic (determined by the project) and analytical (using the area formula for the measured boundary lines).
To date, the most exact way deservedly considered - analytical. Using this method, errors in the calculations usually appear due to inaccuracies in the field of the measured lines. This method is also rather complicated if the boundaries are curvilinear or the number of angles in the plot is more than ten.
A little easier in terms of calculations is the graphical method. It is best used when the lot boundaries are broken lines with few turns.
And the most affordable and easiest way, and the most popular, but at the same time the biggest error - mechanical way. Using this method, you can easily and quickly calculate the area of land of a simple or complex shape.
Among the serious shortcomings of the mechanical or graphical method, the following are distinguished, in addition to errors in measuring the area, an error due to paper deformation or an error in drawing up plans is added to the calculations.
While studying at school, your child will sooner or later face the question of how to calculate the area of a triangle. And if this question arises in the 7th grade when studying geometry, then there will be no problems: in the lesson, the children will quickly understand the material presented by the teacher. This will affect both certain life experience and previously acquired measurement and calculation skills. It will be enough to master the simplest formula connecting the side of the triangle and the height drawn to this side.
But here's the problem: the area of a triangle is studied in grade 3 in the elementary course of mathematics, where the symbols and the corresponding formulas and definitions are not yet passed. There is only one thing left: to help the child analyze all possible situations and draw the necessary conclusions. Grade 3 cannot yet find the area of a triangle, since analytical abilities at this age are poorly formed. The leading activity at this stage is the game. So what was the matter?
It is enough that your child has an idea about the units of measurement. Try to explain to him that the concept of "finding the area" involves comparing the surface of an existing figure with square units.
If you master the concept of "square centimeters", then the child will be able to independently determine other quantities: square meters, decimeters and even kilometers.
And now let's go directly to the game. At the beginning, it is recommended to take a sheet of rectangular paper, make the necessary measurements and determine the area.
Using scissors, cut the rectangle diagonally and get 2 equal parts. Let the child play with them: compare, attach to each other. The first thing your student will determine is that the figures are equal, therefore the areas of the existing figures are also equal. It is enough to "bring" the child to the idea that the surface of the rectangle is divided into 2 equal parts. From this it will be possible to conclude that finding the area of a right triangle is simple: you need to determine half the product of the sides located at a right angle.
Understanding the units of measurement must also occur first at the level of intuition. This will contribute to the formation of analytical thinking, which is very important. In the future, it will not matter for the child at all whether the result is obtained in square meters or square millimeters.
The second stage of "research"
Here we will learn to determine the area of an equilateral triangle. And the same 2 parts of the rectangle obtained during the first stage will help us. Fold them so that the smaller sides of the figures coincide, and the middle ones lie on the same straight line. You've got an isosceles triangle.
Together with your child, try to determine which measurements are important to you. This will be the base and height. By the same criteria, we find that the area of an isosceles triangle is defined as half the product of the base and the height. Grade 5 knows how to find the area of a triangle thanks to this simple method.
The study of the surface of an equilateral triangle should be carried out on the basis of the properties of this figure. First, we cut out such a triangle from paper. It is desirable that the child does this on his own, but if your student goes to grade 4 (or even less), then he will not be able to do this. After all, we need the skills of measurements and constructions, which have not yet been formed during this school period.
Try to "deceive" the age and make all the constructions together. First you need to build a circle (using a compass). Next, with the same compass and the same radius, we divide the resulting circle into 6 equal parts (arcs). Pay attention to the child that if you connect all the points in series, then inside the circle you get a regular hexagon. If you connect the points through one, then this will be a regular triangle.
Such an age-advancing construction technique will be very useful to your child in the future.
At the same time, he will be able to get acquainted with the properties of the figures along the way.
But back to the study of an equilateral triangle. Here again apply the analogy with the previously studied material in relation to the isosceles version of the figure. The formula will turn out to be the same again: half the product of the base and the height drawn to the specified base. On last moment especially note: children tend to confuse the elements of the figures.
More difficult moments
In mathematics, the marked formula is very common, but it is not the only one and not always the most convenient for finding the area. In middle and high school, in geometry lessons, students go through formulas that allow you to find the area of a triangle.
Do you need to know them? The answer is positive, since, depending on the condition of the problem, the speed of solving the problem will depend on the choice of the most convenient formula.
The most important of the formulas of the school course should be considered:
- Heron's formula (allows you to determine the area of \u200b\u200ba figure by three known sides);
- a consequence of the sine theorem (to find the area, you need to know two sides and the value of the angle between them);
- the area formula connecting the sides of the triangle and the radius of the circumscribed circle (the product of the sides of the triangle is divided by 4 radii).
It must be remembered that knowledge of formulas allows the child to successfully combine them and find any elements of a triangle, and not only answers the question of how to calculate the area of a triangle. And this is real mathematical creativity.
Calculation tools
Repair in the room always requires knowledge exact area floor, balcony, bathroom, walls. Thus, knowing the dimensions of the area, you can accurately buy right amount materials, and calmly carry out repairs. This article is to answer the question: “How to calculate square meters?”, And how much time will you need for this.
Why calculate the area of a room?
A variety of factors can serve as a motive for calculating the area of \u200b\u200ba room, but for the most part this is due to renovations in the room. The most common pretext for mathematical calculation is:
- Scheduling work related to the installation of suspended ceilings when there is a need to know the amount of material to complete the work
- When installing stretch ceilings, you should also be aware of the area in order to calculate material resources for repairs
- Painting and scraping the ceiling is no exception and requires knowledge of measurements, because all paintwork and primers are analyzed per m2
- When finishing plasterboard walls, there is also a need to know the area of \u200b\u200bthe wall in the room
- When hiring workers, for example, to install a stretch ceiling, their amount of work will depend on each square meter of your ceiling!
- When selling a house or decorating it, you need to know how to measure the area of the shelf, walls, ceiling.
How to calculate floor area?
So how do you calculate square meters? The easiest to formulate floor area is a square and rectangular house. To calculate the area of \u200b\u200bsuch a room, it is necessary to measure the length and width of the room (measured in meters), and then multiply these two numbers by each other, getting the number of interest to us. This option is not difficult to implement, it does not require rearranging the sofa, wardrobe and other furniture - just enough to calculate the distance. The only problem will be the fireplace (if there is one, of course) in this case, from the final figure, it will be necessary to subtract the S (area) of the fireplace.
Formula: S rooms \u003d A x B, where A is the length, B is the width.
Rooms irregular shape, represent a more complex calculation of the S floor. An apartment that has the shape of a rectangle or square is called a standard apartment, however, if there are decorative changes (arches, niches), then the calculation is more complicated, since it requires the calculation of S figures that make up the room.
First, the plan must be divided into two rectangles, and then sum their areas
Calculating the total area " non-standard figures”, for example, an L-shaped room, you can “break” the room into two squares or triangles and sum up their sum, such a little trick allows you to find out the S of this area in a matter of minutes without any mathematical calculation formulas. In some cases, the corner of an L-shaped room does not transition at a 90º angle, which is a small but manageable snag. Crossing at an oblique angle, the transition looks like a triangle, the calculation must be carried out according to the familiar geometric law: "The area of \u200b\u200bthe triangle is equal to the first leg multiplied by the second."
Cylindrical and semi-segmented particles, but how to calculate square meters based on the basic course of algebra and geometry? It is much easier to divide the plot into conditional triangles and squares, and then do the calculation and summation the results of each individual element.
Formulas for area, geometric shapes
There are living rooms in private houses with different floor heights (ledges, hills, slopes). To perform the calculation, it is necessary, as in the previous case, to divide the areas into separate elements, measuring each separately and summing up the results.
Roulette is best tool, which will help calculate the S floor. However, in addition to the tape measure, you need to take a piece of paper and a pencil and write down the measurements, and only then carry out mathematical calculations (so as not to confuse and measure everything ten times).
Do not take measurements on the wall, as it may be defective and lead to inaccurate measurements. Places with protrusions in the form of semicircles or zigzags should be counted separately.
Calculating the area of a rectangular room and ceiling
Rectangular room is the easiest option for any dimension. To measure the ceiling, you don’t need to reach it with the help of a ladder at all, but remember one important thing, assuming that S floor \u003d S ceiling.
Task for a 5th grader. The area is equal to the product of length and width.
How to calculate the area of a room in which there are niches and ledges?
To determine how much m 2 such a room has is a painstaking work that requires a number of actions and time spent, namely:
- Make a room plan
- Measure the height and length of the room on flat walls
- Divide space into even shapes
- Sum Results
The formula for the room is not the correct shape
Calculation of the area of a room with multi-level ceilings
Use the method of calculation according to the above method of "individual elements" in this case is inaccurate and complex method, much simpler and better:
- Measure walls (in straight sections)
- Determine S sex
- On each vertical section, multiply the height by the length
- Add to gender
The formula for the total area of a room
- Clear the space near the walls (measurement accuracy will increase).
- Identify areas with the correct shape
- Make a plan of the room to make it easier to work.
- Find out the length, width, height of the room
- Add up the areas of the calculated plots.
The concept of "minimum room area" and its calculation
Sections of the room having the form of a triangle, rectangle, circle - are calculated according to standard geometric formulas. After that, the results are rounded up.
On the Internet, there are free access online calculators that save time and nerves in calculations.
Even if all the necessary values are indicated in the technical passport and housing documentation and a plan is attached, all this is not always at hand.
Then you have to arm yourself with a tape measure and, after carrying out the necessary measurements, calculate the right one yourself. In this article, we will learn how to calculate the area of the walls of the house.
In what cases is it necessary?
The comfort of living in a room is usually estimated by its dimensions. Then why do you need the area of \u200b\u200bthe walls? This is an auxiliary important for estimating the amount of consumables required during repair.
Knowing the area of \u200b\u200bthe walls in a room or apartment, you can buy the required amount of consumables, be it wallpaper, paint, whitewash or tile.
A roll of wallpaper knows its width and length, which allows you to calculate the required amount of material according to the area of \u200b\u200bthe walls, the recommended consumption in grams per square meter is also indicated on the cans of paint, tiles with certain sizes also have a known area.
Wall area calculation
To calculate, you need to use well-known from the school formula for the area of a rectangle.
Even if the room is of the most "irregular" shape, the walls can be "deployed" (of course, mentally), and we get rectangle with length equal to room perimeter, and a height equal to the height of the room.
The area of a rectangle is equal to the product of its sides. One of the sides is the perimeter of the room, the other is its height. The perimeter of the room is the sum of the lengths of all sides of a plane figure, representing the floor, or, more simply, the length of all skirting boards.
Rectangular room
If the room has a simple shape, the length of the perimeter can be measured by making a few necessary measurements. Height same usually measured at any corner of the room, from floor to ceiling. Linear dimensions should be measured in meters, then the area will be expressed in square meters.
Example: Room perimeter 13.90 m, height 2.65 m. Wall area = 13.90 x 2.65 = 36.84 sq. m.
To calculate the perimeter rectangular room enough measure the length and width of the room, add them up and multiply by 2.
Example: length 4.1 m, width 2.85 m. Perimeter = 2 x (4.1 + 2.85) = 13.90 (m).
wrong shape
The perimeter of an irregularly shaped room can be measured by carefully stretching string or wire along the perimeter along the baseboards, while wrap twine around all the ledges, bends, and then measure the length of the piece of twine corresponding to the perimeter with a tape measure.
Wall shape may be complicated by the presence of niches and protruding parts. Sometimes these elements can be neglected, but if it is necessary to take them into account, it is necessary to use the rectangle area formula to take into account all this additional area.
in the form of a trapezoid
In a room in the form of a trapezoid of 4 walls, two opposite ones are parallel to each other, and the other two are not. In this case, you can separately measure the lengths of all 4 sides and fold. This will be the perimeter of the room.
Exists complex formula, allowing calculate the fourth from the measured length of 3 sides, but it is easier to measure than to calculate.
Example: The sides of the room with the floor in the form of a trapezoid are 3, 4, 6 and 5 m. Perimeter = 3 + 4 + 6 + 5 = 18 (m).
Read also about the standard window size for houses of different types.
round shape
If the room is strictly round, the perimeter can be calculated, by measuring its diameter (diameter) and multiplying it by the number "pi", equal (with rounding) 3.14.
Example: diameter 2.7 m, perimeter = 3.14 x 2.7 = 8.48 (m).
Windows and doors in material calculation
If you paste over the walls of the room with wallpaper or paint with paint, from the area of \u200b\u200bthe walls calculated as described above subtract the area of windows and doors.
Windows and doors are usually rectangular in shape, and to determine their area just measure their width and height, and multiply.
Example: in a room with a wall area of 36.84 sq. m. there is a window measuring 1.30 by 1.40 m and a door measuring 0.80 by 2.05 m. The window area is 1.30 x 1.40 \u003d 1.82 square meters. m, the door area is 0.80 x 2.05 = 1.64 sq. m. The area of walls without windows and doors is 36.84 - 1.82 - 1.64 \u003d 33.38 square meters. m.
Or here's another good example:
How to calculate the consumption of wall paint?
Consumption is indicated on the paint can 100 g/sq.m. Calculate the amount of paint needed to paint the walls of a room with a wall area 33.38 sq. m.
We multiply the consumption, expressed in kilograms per 1 square meter, by the area of \u200b\u200bwalls without windows and doors, we get 0.1 x 33.38 = 3.34 (kg). Obviously, you can get by with a can of 3.5 kg of paint. Similar to this example, other finishing materials can be calculated.
Periodically, we need to know the area and volume of the room. This data may be needed when designing heating and ventilation, when purchasing building materials, and in many other situations. It is also periodically required to know the area of \u200b\u200bthe walls. All these data are calculated easily, but first you have to work with a tape measure - measure all the required dimensions. How to calculate the area of \u200b\u200bthe room and walls, the volume of the room and will be discussed further.
Room area in square meters
- Roulette. Better - with a latch, but a regular one will do.
- Paper and pencil or pen.
- Calculator (or count in a column or in your head).
A set of tools is simple, there is in every household. It is easier to measure with an assistant, but you can do it yourself.
First you need to measure the length of the walls. It is desirable to do this along the walls, but if they are all full of heavy furniture, you can take measurements in the middle. Only in this case, make sure that the tape measure lies along the walls, and not obliquely - the measurement error will be less.
Rectangular room
If the room is of the correct shape, without protruding parts, it is easy to calculate the area of \u200b\u200bthe room. Measure the length and width, write it down on a piece of paper. Write the numbers in meters, put centimeters after the decimal point. For example, length 4.35 m (430 cm), width 3.25 m (325 cm).
We multiply the found numbers, we get the area of \u200b\u200bthe room in square meters. If we turn to our example, we get the following: 4.35 m * 3.25 m = 14.1375 sq. m. In this value, usually two digits after the decimal point are left, which means we round off. In total, the calculated quadrature of the room is 14.14 square meters.
Irregular room
If you need to calculate the area of a room of irregular shape, it is divided into simple shapes - squares, rectangles, triangles. Then everything is measured. the right dimensions, make calculations according to known formulas (there is a table just below).
One example is in the photo. Since both are rectangles, the area is calculated using the same formula: multiply the length by the width. The figure found must be subtracted or added to the size of the room, depending on the configuration.
Complex room area
- We consider the quadrature without a ledge: 3.6 m * 8.5 m = 30.6 sq. m.
- We consider the dimensions of the protruding part: 3.25 m * 0.8 m = 2.6 sq. m.
- We add two values: 30.6 square meters. m. + 2.6 sq. m. = 33.2 sq. m.
There are also rooms with sloping walls. In this case, we split it so that we get rectangles and a triangle (as in the figure below). As you can see, for this case five sizes are required. It could have been split differently by putting a vertical rather than a horizontal line. It doesn't matter. It just requires a set of simple shapes, and the way they are selected is arbitrary.
In this case, the calculation order is:
- We consider the large rectangular part: 6.4 m * 1.4 m \u003d 8.96 square meters. m. If we round up, we get 9.0 sq.m.
- We calculate a small rectangle: 2.7 m * 1.9 m \u003d 5.13 square meters. m. Rounding up, we get 5.1 square meters. m.
- We calculate the area of the triangle. Since it is with a right angle, it is equal to half the area of a rectangle with the same dimensions. (1.3 m * 1.9 m) / 2 = 1.235 sq. m. After rounding, we get 1.2 square meters. m.
- Now we add everything up to find total area rooms: 9.0 + 5.1 + 1.2 = 15.3 sq. m.
The layout of the premises can be very diverse, but general principle you understand: we divide into simple figures, measure all the required dimensions, calculate the quadrature of each fragment, then add everything up.
Another important note: the area of the room, floor and ceiling are all the same values. Differences can be if there are some semi-columns that do not reach the ceiling. Then the quadrature of these elements is subtracted from the total quadrature. The result is the floor area.
How to calculate the square of the walls
Determining the area of walls is often required when purchasing finishing materials- wallpaper, plaster, etc. This calculation requires additional measurements. To the already existing width and length of the room you will need:
- ceiling height;
- height and width of doorways;
- height and width of window openings.
All measurements are in meters, since the square of the walls is also usually measured in square meters.
Since the walls are rectangular, the area is calculated as for a rectangle: we multiply the length by the width. In the same way, we calculate the dimensions of windows and doorways, subtract their dimensions. For example, we calculate the area of \u200b\u200bthe walls shown in the diagram above.
- Wall with a door:
- 2.5 m * 5.6 m = 14 square meters m. - the total area of \u200b\u200bthe long wall
- how much does a doorway take: 2.1 m * 0.9 m = 1.89 sq.m.
- wall excluding doorway - 14 sq.m - 1.89 sq.m. m = 12.11 sq. m
- Wall with a window:
- square of small walls: 2.5 m * 3.2 m = 8 sq.m.
- how much does a window take up: 1.3 m * 1.42 m = 1.846 sq. m, rounding up, we get 1.75 sq.m.
- wall without a window opening: 8 sq. m - 1.75 sq.m = 6.25 sq.m.
Finding the total area of the walls is not difficult. We add up all four numbers: 14 sq.m + 12.11 sq.m. + 8 sq.m. + 6.25 sq.m. = 40.36 sq. m.
Room volume
Some calculations require the volume of the room. In this case, three values are multiplied: width, length and height of the room. This value is measured in cubic meters(cubic meters), also called cubic capacity. For example, we use the data from the previous paragraph:
- length - 5.6 m;
- width - 3.2 m;
- height - 2.5 m.
If we multiply everything, we get: 5.6 m * 3.2 m * 2.5 m = 44.8 m 3. So, the volume of the room is 44.8 cubic meters.
