Question

A wall of a room is of dimensions 5 m × 4 m. It has a window of dimensions 1.5 m × 1 m and a door of dimensions 2.25 m × 1 m. Find the area of the wall which is to be painted.

Answer 1

Given, a wall of a room is of dimensions 5 m × m.

∴ Length of the room = 5 m and breadth of the room = 4 m

∴ Area of the room = l × b = 5 × 4 = 20 m²

Also, length of the window = 1.5 m and breadth of the window = 1 m  ...[Given]

∴ Area of the window = l × b = 1.5 × 1 = 1.5 m²

Now, length of the door = 2.25 m and breadth of the door = 1 m

∴ Area of the door = l × b = 2.25 × 1 = 2.25 m²

Now, area of the wall to be painted = Area of the room – (Area of the window + Area of the door)

= 20 – (1.5 + 2.25)

= 20 – 3.75

= 16.25 m²