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Question
A rectangular piece of dimensions 3 cm × 2 cm was cut from a rectangular sheet of paper of dimensions 6 cm × 5 cm (see the figure). Area of remaining sheet of paper is ______.
Options
30 cm2
36 cm2
24 cm2
22 cm2
Solution
A rectangular piece of dimensions 3 cm × 2 cm was cut from a rectangular sheet of paper of dimensions 6 cm × 5 cm (see the figure). Area of remaining sheet of paper is `bb(underline(24 cm^2))`.
Explanation:
Given dimensions of the bigger rectangle are 6 cm and 5 cm.
∴ Area of bigger rectangle = 6 cm × 5 cm = 30 cm2 ......[∵ Area of rectangle = length × breadth]
Also given, dimensions of the smaller rectangle are 3 cm and 2 cm.
∴ Area of smaller rectangle = 3 cm × 2 cm = 6 cm2
∴ Area of remaining sheet of paper = Area of bigger rectangle – Avea of smaller rectangle
= (30 – 6) cm2
= 24 cm2
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