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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.
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Solution
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
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