Question

Find the area of the rectangle given that:
(i) Perimeter = 72 cm
(ii) Length = 12 cm

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

Answer 1

The correct option is B

$288c{m}^2$

Given: Perimeter of the rectangle = 72 cm
Length of the rectangle = 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
= $288c{m}^2$