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Find the length of a side of a square playground whose area is equal to the area of a rectangular field of dimensions 72 m and 338 m.
Given:
The area of a square playground is equal to the area of a rectangular field of dimensions 72 m and 338 m.
To do:
We have to find the length of the side of the square playground.
Solution:
Length of rectangular field $(l) = 338\ m$
Breadth of the rectangular field $(b) = 72\ m$
Area of the rectangular field $= l \times b$
$= 338 \times 72\ m^2$
This implies,
Area of the square playground $= 338 \times 72\ m^2$
$= 24336\ m^2$
Therefore,
Side of the square playground $=\sqrt{\text { Area }}$
$=\sqrt{24336}$
Square root of 24336 is,
156 | |
1 | 24336 1 |
25 | 143 125 |
306 | 1836 1836 |
0 |
Hence, the length of the side of the square playground is $156\ m$.
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