Question

The sides of a rectangle whose area is 216 $c{m}^2$ are in the ratio 2:3. Find its perimeter.

• A. 5 cm
• B. 6 cm
• C. 30 cm
• D. 60 cm

Answer 1

The correct option is D 60 cm

Let the length and breadth of the rectangle be 2x and 3x respectively.

Area of rectangle = $l\times b$
$2x\times 3x=216$
$6x^2=216$
$x^2=216÷6$
$x^2=36$
$x=6cm$

So, the sides of the given rectangle are
$length\left(l\right)=2x=2\times 6=12cmbreadth\left(b\right)=3x=3\times 6=18cm$

Now, perimeter of the rectangle
= $2(l+b)=2(12+18)=2\times 30$

$\therefore$ Perimeter = 60 cm