Question

If area of a square is equal to area of a rectangle whose length and breadth are 9 cm and 4 cm respectively, then find the perimeter of the square.

• A. 12 cm
• B. 24 cm
• C. 27 cm
• D. 52 cm

Answer 1

The correct option is B 24 cm

Given,
Length of rectangle = 9 cm and
Breadth of rectangle = 4 cm
We know,
Area of rectangle = length$\times$breadth
= 9 x 4
= 36 $c{m}^2$

Also, area of square = $sid{e}^2$

According to the given condition,

$sid{e}^2=length\times breadth\Rightarrow sid{e}^2=36\Rightarrow side=\sqrt{36}\therefore side=6cm$

Perimeter of a square = 4$\times$side
= 4$\times$6
= 24 cm

Therefore, perimeter of the square is 24 cm.