# Ex.11.1 Q5 Perimeter and Area - NCERT Maths Class 7

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## Question

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

## Text Solution

What is known?

The area of a square park is the same as of a rectangular park. Also, the side of the square park is $$60 \,\rm{}m$$ and the length of the rectangular park is $$90\,\rm{m}$$

What is unknown?

The breadth of the rectangular park.

Reasoning:

This question is based on the concept of area of square and rectangle. The side of the square park is $$60\,\rm{m}$$ and the length of the rectangular park is $$90\,\rm{m}.$$ Use the formula’s related to area of square and rectangle put the given values and find the breadth of rectangular park.

Steps:

Given,

Area of a square park $$=$$ Area of a rectangular park

Side of the square park $$= 60\,\rm{m}$$

Length of the rectangular park $$= 90\,\rm{m}$$

Let breadth of the rectangular park $$= b \,\rm{}m$$

Since, area of a square park $$=$$ area of a rectangular park

So,

\begin{align}{\rm{Side}} \times {\rm{Side}} &= {\rm{Length}} \times {\rm{Breadth}}\\60 \times 60 &= 90 \times b\\b &= \frac{{3600}}{{90}}\\b &= 40{\rm{ }}m\end{align}

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