If each side of a square is increased by 25%, find the percentage change in its area?
let each side of the square be a , then area = a x a
New side = 125a / 100 = 5a / 4
New area =$\left(5a \times 5a\right)$ / $\left(4 \times 4\right)$ = (25a²/16)
increased area== (25a²/16) - a²
Increase %= [(9a²/16 ) x (1/a² ) x 100]% = 56.25%
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