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 ______.

Answer 1

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