Question

A rectangle and a square have the same perimeter (Figure).

1. The area of the rectangle is ______.
2. The area of the square is ______.

Answer 1

A rectangle and a square have the same perimeter (Figure).

1. The area of the rectangle is 12 sq.units.
2. 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