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If each side of a square is increased by 25%, what is the percentage change in its area?

Option:
A. 0.5625%
B. 5.625%
C. 56.25%
D. 625%
Answer: C . 56.25%

Justification:

if the side of the square is x, then the increased side of the square is 1.25x

 

Are of the square is = (1.25x)^2 = 1.5625x^2

 

The difference percentage of the area of the square is = (1.5625 x^2 / x^2) * 100% = 56.25%

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