Find the length of a side of a square, whose area is equal to the area to the rectangle with sides 240 m and 70 m.

Given: 

Area of a square is equal to the area of the rectangle with sides 240 m and 70 m.

To do: 

We have to find the length of the side of the square.

Solution:

Lenght of the rectangle $(l)=240 \mathrm{~m}$

Breadth of the rectangle $(b)=70 \mathrm{~m}$

Therefore,

Area of the rectangle $=l \times b$

$=240 \times 70 \mathrm{~m}^{2}$

$=16800 \mathrm{~m}^{2}$

This implies,

Area of the square field $=16800 \mathrm{~m}^{2}$

Therefore,

Side of the square field $=\sqrt{\text { Area }}$

$=\sqrt{16800}$

$=\sqrt{400 \times 42}$

$=\sqrt{400} \times \sqrt{42}$

$=20 \times 6.481$

$=129.620$

$=129.62 \mathrm{~m}$

The length of the side of the square is $129.62 \mathrm{~m}$.

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Updated on: 10-Oct-2022

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