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.

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Solution

$Length of rectangular field (l) - 338 m and breadth (b) = 72 m ∴ A r e a = l \times b = 338 \times 72 m^{2} ∴ Area of square = 338 \times 72 m^{2} = 24336 m^{2} and length of the side of the square = \sqrt{A r e a} = \sqrt{24336}$

$= 156 m$

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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.

Length of rectangular field (l)−338 mand breadth (b)=72 m∴ Area=l×b=338×72 m2∴ Area of square=338×72 m2=24336 m2and length of the side of the square=√Area=√24336 =156 m

$Length of rectangular field (l) - 338 m and breadth (b) = 72 m ∴ A r e a = l \times b = 338 \times 72 m^{2} ∴ Area of square = 338 \times 72 m^{2} = 24336 m^{2} and length of the side of the square = \sqrt{A r e a} = \sqrt{24336}$

$= 156 m$