1.

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

Answer»

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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