Question

The area of a rectangle and a square are equal. If the side of the square is 40 cm and the breadth of the rectangle is 25 cm, find the length of the rectangle.

• A. 54 cm
• B. 62 cm
• C. 65 cm
• D. 64 cm

Answer 1

The correct option is D 64 cm

Given, side of the square = 40 cm
So, area of the square = $sid{e}^2$
= 40 x 40
= $1600c{m}^2$

Given, breadth of the rectangle = 25 cm
So, area of the rectangle
= length $\times$ breadth
= length $\times$ 25 cm

Given, area of the square = area of the rectangle
$\Rightarrow$ 1600 $c{m}^2$ = length $\times$ 25 cm
$\Rightarrow$ length = $\frac{1600}{25}$ = 64 cm.

Therefore, length of the rectangle is 64 cm .