If the side of a square is increased by 25%, then its area gets increased by - IQ786

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If the side of a square is increased by 25%, then its area gets increased by

If the side of a square is increased by 25%, then its area gets increased by

56.25 %

50%

59 %

76.25 %

Explanation

Side of a square is increased by 25 %
Let the initial side be x
Initial area $= x^{2}$
New Side $= x + \frac{x}{4} = \frac{5 x}{4}$
New area $= \frac{2 5 x ^{2}}{1 6}$
increase in area $= \frac{9 x ^{2}}{1 6}$
$∴$ % increase $= \frac{9 0 0}{1 6} = 56.25$ %