Question

A square and a rectangle have the same perimeter. If the length and the breadth of the rectangle are $55cm$and $35cm$, find the side of the square.

Answer 1

To find the side we need to find the perimeter of the rectangle

Length of the rectangle $=55cm$

The breadth of the rectangle $=35cm$

The perimeter of the rectangle $=2(l+b)$

$$\begin{gathered} =2(55+35) \\ =2\times 90 \\ =180cm \end{gathered}$$

ATQ

The perimeter of the square $=$ perimeter of the rectangle

$$\begin{gathered} 4\times side=180 \\ side=\frac{180}{4} \\ side=45cm \end{gathered}$$

Hence the side of the square $=45cm$