The dimensions of a room are $14 m \times 10 m \times 6.5 m$ . There are two doors and 4 windows in the room. Each door measures $2.5 m \times 1.2 m$ and each window measures $1.5 \times 1 m$ . Find the cost of painting the four walls of the room at RS 35 per $m^{2}$ .

Open in App

Solution

Dimensions of wall:
Length = 14 m
Breadth = 10 m
Height = 6.5 m
Dimensions of windows
Length = 1.5 m
Breadth = 1 m
And,Length of doors = 2.5 m
Breadth of doors = 1.2 m
Cost = RS 35 per $m^{2}$
Now,
Area of four walls $=$ 2(Length of walls $\times$ Height of walls) $+ 2$ (Breadth of walls $\times$ Height of walls)
$= 2 (14 \times 6.5) + 2 (10 \times 6.5)$
$= 182 + 130$
$= 312$
$\Rightarrow$ Area of four walls is $312 m^{2}$
Area of two doors $=$ 2(Length of doors $\times$ Breadth of doors)
$= 2 (2.5 \times 1.2)$
$= 6$
$\Rightarrow$ Area of two doors is $6 m^{2}$
Area of four windows $=$ 4(Length of windows $\times$ Breadth of windows)
$= 4 (1.5 \times 1)$
$= 6$
$\Rightarrow$ Area of four windows is $6 m^{2}$
Therefore,
Area to be painted $=$ Area of 4 walls $-$ (Area of 2 doors $+$ Area of 4 windows)
$= 312 (6 + 6)$
$= 300$
$\Rightarrow$ Area to be painted is $300 m^{2}$
Cost of painting $= 300 m^{2} \times$ Rs 35 per $m^{2}$
$= R s 10500$

Suggest Corrections

Similar questions

Q. The dimensions of a room are 14 m × 10 m × 6.5 m. There are two doors and 4 windows in the room. Each door measures 2.5 m × 1.2 m and each window measures 1.5 × 1 m. Find the cost of painting the four walls of the room at Rs 35 per m².

The dimensions of a room are $14 m \times 10 m \times 6.5 m$ .There are two doors and 4 windows in the room.Each door measures $2.5 m \times 1.2 m$ and window measures $1.5 m \times 1 m$ .Find the cost of painting walls of the room ar Rs.35 per $m^{2}$ .

The dimensions of a room are 12.5 m by 9 m by 7 m. There are 2 doors and 4 windows in the room; each door measures 2.5 m by 1.2 m and each window 1.5 m by 1 m. Find the cost of painting the walls at Rs 3.50 per square metre.

Q. A room is 8.5 m long, 6.5 m broad and 3.4 m high. It has two doors, each measuring (1.5 m by 1 m) and two windows, each measuring (2 m by 1 m). Find the cost of painting its four walls at Rs 160 per m².

Q. A room is 9 m by 8 m by 6.5 m. It has one door of dimensions (2 m × 1.5 m) and four windows each of dimensions (1.5 m × 1 m). Find the cost of painting the walls at Rs 50 per m².

Join BYJU'S Learning Program

The dimensions of a room are 14m×10m×6.5m. There are two doors and 4 windows in the room. Each door measures 2.5m×1.2m and each window measures 1.5×1m. Find the cost of painting the four walls of the room at RS 35 per m2.

The dimensions of a room are $14 m \times 10 m \times 6.5 m$ . There are two doors and 4 windows in the room. Each door measures $2.5 m \times 1.2 m$ and each window measures $1.5 \times 1 m$ . Find the cost of painting the four walls of the room at RS 35 per $m^{2}$ .