If the side of a square is increased by 25 % then how much percent does it's ar

Question

If the side of a square is increased by 25 % then how much percent does it's area get increased:

Options:

A . 125

B . 156.25

C . 50

D . 56.25

Answer: Option D

Area = 100Sq.m
Side = 10 m
New side = (125% of 10) m = (125/100 Ã—10) m = 12.5 m
New area = (12.5 x 12.5) Sq.m = (12.5)² sq.m
Increase in area =[(12.5) ² “ (10) ²] Sq.m
=[(12.5 + 10) (12.5 - 10)] Sq.m
= (22.5 x 2.5)Sq.m = 56.25 Sq.m

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