Question

The length and the breadth of a rectangle are $36$ cm and $28$ cm. If its perimeter is equal to the perimeter of a square, find the side of the square.

Answer 1

It is given that,
Length of a rectangle = $36$ cm.
Breadth of a rectangle = $28$ cm.
We know that,
Perimeter = $2(l+b)$
Substituting the values,
$=2(36+28)$
$=2\left(64\right)$
$=128$ cm.
It is given that,
Perimeter of a square = Perimeter of a rectangle = $128$ cm.
So the side of square = $perimeter/4$
Substituting the value,
$=\frac{128}{4}$
$=32$ cm.