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 = a2.
New side =(125a/100) =(5a/4)
New area = (5a/4)2 =(25a2)/16
Increase in area = ((25 a2)/16) - a2 =(9a2)/16
Increase% = [((9a2)/16)*(1/a2)*100] % = 56.25%.
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