Question

If a square of side 8 m and a rectangle of length 12 m have the same perimeter, then find the area of the rectangle (in $m2$).

• A. 96 $m^2$
• B. 16 $m^2$
• C. 48 $m^2$
• D. 32 $m^2$

Answer 1

The correct option is C 48 $m^2$

The perimeter of a square = 4 × side

Perimeter of a rectangle = 2 (length + breadth)

Given, the perimeter of the square = perimeter of the rectangle

⇒ 4 × 8 = 2(12 + b)

⇒ 32 = 24 + 2b

⇒ 2b = 32 - 24

⇒ 2b = 8

⇒ b = 4 m

$\therefore$ Area of the rectangle = l × b = 12 × 4 = 48 $m^2$