Question

The area of a square park is the same as of a rectangular park. If the side of the square park is $60m$ and the length of the rectangular park is $90m$, find the breadth of the rectangular park.

Answer 1

Step 1: Finding the area of the square :

Given

Side of the square park $=60m$

We know that,

Area of the square park $={\left(side\right)}^2$

$$\begin{gathered} ={60}^2 \\ =3600m^2 \end{gathered}$$

Thus, the area of the square$=3600m^2$

Step 2: Find the breadth of the rectangle :

It is given that the area of a square park is the same as that of a rectangular park.

So, the area of the rectangular park $=3600m^2$

Length of the rectangular park $=90m$

We know that,

Area of rectangle $=length\times breadth$

So,

$$\begin{gathered} Length\times Breadth=3600 \\ \Rightarrow 90\times Breadth=3600 \\ \Rightarrow Breadth=\frac{3600}{90} \\ =40m \end{gathered}$$

Hence the breadth of the rectangular park is$40m$