Question

A room is 20 m long and 14 m broad. It has one door measuring 1 m by 1.7 m and one window measuring 1.8 m by 1.8 m . The cost of painting the walls of the room at the rate of $ 15 per m 2 is $ 12165.9 . Find the height of the room.

Answer 1

13.75 m.

Explanation:

We can start by calculating the total area of the walls of the room by subtracting the area of the door and window from the total area of the room.

The total area of the room is 20m * 14m = 280 m^2

The area of the door is 1m * 1.7m = 1.7 m^2

The area of the window is 1.8m * 1.8m = 3.24 m^2

The total area of the walls is 280m^2 - 1.7m^2 - 3.24m^2 = 275.06 m^2

Now that we have the total area of the walls, we can divide it by the cost of painting per m^2 to find the height of the room.

The cost of painting per m^2 is $12165.9 / 275.06 m^2 = $44.32/m^2

So we can find the height of the room by dividing the cost by the rate of painting, $12165.9 / $44.32/m^2 = 275.06 m^2 / (20m * h) = 275.06 / 20 = 13.75m

Therefore, the height of the room is approximately 13.75 m.