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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