How to calculate the area of ​​the wall

Repair is not only troublesome, but also costly. For its implementation, plaster, putty, primer, paint, wallpaper, tile and many other finishing materials are required. To prepare the required number of them, it is necessary to calculate the area of ​​walls, floor and ceiling of the apartment being repaired.

Preparatory work

For the convenience of measurements and calculations, it is better to pre-prepare the room, the necessary accessories and tools for this.

The best option for taking measurements is an empty room. If it is not possible to completely free it from furniture and household appliances, then all objects should be moved so as to provide unhindered access to the walls.

For measurements and calculations you will need:

• roulette;
• long ruler (you can use a rule or a long level);
• construction square;
• thin masking tape for marking on the floor;
• pencil and notebook;
• calculator.

To obtain the most accurate results, it is better to measure all values ​​twice.

For convenience and clarity, the masters recommend depicting the layout of the room on paper. The exact scale in this case is not needed, it is important to transfer to the sheet the shape of the room with all the protrusions and niches, if any. When conducting measurements, the results obtained fit into the scheme, and then the necessary value is calculated.

The area of ​​living space is usually measured in square meters, so all the obtained measurement results should be immediately converted to meters. For example, the length of the wall when measuring it with a tape measure was 560 cm, in meters it will be 5.6 (560: 100).

How to determine the floor area in a rectangular room

Premises come in a wide variety of forms. To find out the footage of the ceiling or floor, you will have to remember the school geometry course.

Rectangular configuration is the most common option. Calculating the floor area (S) in this case is the easiest. It is necessary to measure the length and width, and multiply the results obtained.

For example, length (A) is 3.24 m, width (B) is 5.7 m.

S = A × B = 3.24 × 5.7 = 18.47 m²

Trapezoid room

There are often cases when the living room or bedroom have the appearance of a trapezoid. From the school course of geometry, everyone remembers that a trapezoid is a quadrangle, the two sides of which are parallel. To calculate the area (S) of the trapezoid, you need to know the length of the parallel sides (A and B) and its height (h). These values ​​must be inserted into the formula:

S = ½ (A + B) × h

So, if your living room has a trapezoidal configuration, you should measure the length of the walls that are parallel, and the distance between them at right angles - this will be the height.

For example, the lengths of the sides of the room are 2.5 m and 5.7 m, the height of the trapezoid is 3.4 m, then its footage will be as follows:

S = 0.5 × (2.5 + 5.7) × 3.4 = 13.94 m²

Round shaped rooms

There are also residential areas with rounded sections in housing construction. Most often they have the appearance of a semicircle. This figure can be seen not only in the location of the walls. There are frequent cases when windows and doors look like arches. It happens that one or more corners are rounded, and then you can not do without a quarter circle.

Recognizing the footage of such spaces is quite simple. The basis should be taken the formula for calculating the area of ​​a circle.

S = π × R², where π is a constant equal to 3.14, and R is the radius of the circle.

For a semicircle, it will look like S = (π × R²) ÷ 2, and for a quarter - S = (π × R²) ÷ 4

In order to find out the footage of a room containing a semicircle or a quarter, it is necessary to divide it into simple figures, calculate separately the parameters of each of them, and add the results.

For example, your kitchen contains a semicircle. To calculate the footage, it should be divided into a semicircle and a rectangle. The lengths of the sides of the rectangle are 2.6 m (A) and 6 m (B). The radius of the semicircle is 3 m. The obtained measurements must be inserted into the formulas.

For the rectangle: S₁ = A × B = 2.6 × 6 = 15.6 m²

For a semicircle: S₂ = (π × R²) ÷ 2 = (3.14 × 3²) ÷ 2 = 28.26 ÷ 2 = 14.13 m²

For the whole room: S₃ = S₁ + S₂ = 15.6 + 14.13 = 29.73 m²

If the shape contains a quarter circle, it must be divided into a rectangle and a quarter. The calculation algorithm will be similar.

Irregular shape

It is convenient to divide a room into several simple figures when it has an irregular shape, for example, an irregular quadrangle can be divided into two arbitrary triangles.

How to calculate the floor area in this case? It is necessary to calculate this value for each figure according to the corresponding formula, and add the results obtained.

Sometimes in the living space there are protrusions and niches that can have a very different configuration: rectangular, triangular, rounded. To calculate the floor area in such a room you need:

• On the diagram, break it into the main figure and the figure of the ledge or niche.
• Find S for each of them.
• For a niche, its S value must be added to the same parameter of the main figure; in the case of a ledge, its S should be subtracted from the footage of the entire room.

How to determine the area of ​​walls

To calculate the amount of finishing materials, it is important to know how to calculate the area of ​​walls.

• In the simplest case, the wall area is the product of the perimeter of the room and its height.

This rule applies to rooms in which the ceiling level is the same at all points and all walls are in the shape of a rectangle.

• In a room with multi-level ceilings and with a wall shape other than a rectangle, get the general the area of ​​the walls can be as follows: calculate the quadrature of each of them separately, and the results obtained to fold.

Rooms without windows are a rarity, and without doors they simply cannot exist. To find out the area of ​​the walls in "pure form", minus the size of windows and doors, you need:

• Find the quadrature of the entire surface of the walls.
• Measure all the windows and doors along the outer edge and calculate their area.
• Subtract S window and doorways from the footage of the walls. The desired result is obtained.

The windows in the rooms can be rectangular, semicircular, trapezoidal. When calculating the surface occupied by them, the formulas described above must be applied.