If the side of a square is increased by 25% then it's area is increased by

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Question

If the side of a square is increased by 25% then it's area is increased by

Options:

A . 25%

B . 40.5%

C . 55%

D . 56.25%

Answer: Option D

½ d1 d2 = 2016
=> d1 d2 = 4032
(1/2 d1) ² + (1/2 d2) ² =(65) ² = d1² + d2²= 16900
d1² + d2² +2d1d2 =(16900+ 8064) = 24964
=> (d ₁ +d ₂) ² =(158) ²
=> d ₁ +d ₂ =158
d1² + d2² - 2d1d2 =(16900 - 8064) = 8836
=> (d1 -d2) ² =(94) ²
=> d1 -d2 =94
d1 +d2 =158 d1 “d2 =94
=>2d1 = 252 => d1 = 126cm
=> d2 = (158 -126) = 32 cm

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