If each side of a square is increased by 25%, find the percentage change in its area?
Correct Answer: Option B
let each side of the square be a , then area = \(a^2\)
As given that The side is increased by 25%, then
New side = 125a/100 = 5a/4
New area = \(\left(\frac{5a}4\right)^2\)
Increased area= \(\frac{25a^2}{16}-a^2\)
Increase %= \(\frac{\left[9a^2/16\right]}{a^2}\ast100\) % = 56.25%
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