If the length of the side of a square is increased by 50 %, then find the percentage change in area. Take the original area to be 36 sq cm.
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Answer:
Given original area = 36 sq cm.
so length of each side = √36 = 6cm
new length is increased by 50% , hence new length = 1.5 * 6 = 9 cm
therefore new area will be a^2 = 81 sq cm
change in area = ( new area - old area )
= 81 - 36 = 45 sq cm
% increase = 45*100/36 = 125% increase
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