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,

Hence, the length of the side of the square playground is $156\ m$.