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30-11-2018
Mathematics

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Each side of a rectangle is increased in length by 20%. What is the percentage increase in the area? A) 20.0% B) 33.3% C) 40.0% D) 44.0%

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MrBillDoesMath MrBillDoesMath

04-12-2018

Hello from MrBillDoesMath!

Answer: D ( 44%)

Discussion:

Suppose "x" is the length of a side and "y" is the width. Then

Area = x * y

If "x" is increased by 20%, x becomes 1.2x. Same thing for "y" The area now becomes

Area = 1.2x * 1.2y = 1.44 xy

which is a 44% increase over the area of the original rectangle.

Answer is d.

Thank you,

MrB

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