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Question
A rectangle and a square have the same perimeter (Figure).
(a) The area of the rectangle is ______.
(b) The area of the square is ______.
Solution
A rectangle and a square have the same perimeter (Figure).
(a) The area of the rectangle is 12 sq.units.
(b) The area of the square is 16 sq.units.
Explanation:
(a) Given, length of rectangle = 6 units
And breadth of rectangle = 2 units
∴ Area of a rectangle = Length × Breeadth = 6 × 2 = 12 sq.units
(b) Given, Perimeter of square = Perimeter of rectangle
⇒ 4 × Side = 2 × (Length + Breadth)
⇒ 4 × Side = 2 × (6 + 2)
⇒ 4 × Side = 2 × 8
⇒ 4 × Side = 16
⇒ `(4 xx "Side")/4 = 16/4` .....[Dividing both sides by 4]
∴ Side = 4 units
Now, area of square = Side × Side = 4 × 4 = 16 sq.units
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