Question

Find the area of the rectangle if its perimeter is 72 cm and length of its side is 12 cm.

• A. $248c{m}^2$
• B. $224c{m}^2$
• C. $200c{m}^2$
• D. $288c{m}^2$

Answer 1

The correct option is D $288c{m}^2$

Perimeter of the rectangle = 72 cm
Length of its side = 12 cm

Perimeter of the rectangle = 2 (Length + Breadth)
$\Rightarrow$ 72 cm = 2 (12 + Breadth)
$\Rightarrow$ 36 = 12 + Breadth
$\Rightarrow$ Breadth = 36 - 12
$\Rightarrow$ Breadth = 24 cm

Area of a rectangle = Length $\times$ Breadth
= 12 cm $\times$ 24 cm
= $288c{m}^2$