if each side of a square is increased by 25% , find the percentage change in it's area.
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Answer:
Let each side of the square be a. Then, area = .a2a2
New side =125a100=5a4125a100=5a4. New area = (5a4)25a42 = (25a216)25a216
Increase in area = 25a216−a2=9a21625a216-a2=9a216
Increase% = [9a216*1a2*100]9a216*1a2*100 % = 56.25%.
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Step-by-step explanation:
if each side of a square is increased by 25%, what is the percentage change in its area? if the side of the square is x, then the increased side of the square is 1.25x The difference percentage of the area of the square is = (1.5625 x^2 / x^2) * 100% = 56.25%
Hope it helps you
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