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In a rectangle, the length is increased by 10%, and the width is decreased by 10%. W

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by Max@Math Revolution » Fri Jun 12, 2020 12:44 am

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[GMAT math practice question]

In a rectangle, the length is increased by 10%, and the width is decreased by 10%. What percentage is the reduced area of the rectangle?
6.12 PS.png
A. 1%
B. 5%
C. 10%
D. 15%
E. 17%
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Re: In a rectangle, the length is increased by 10%, and the width is decreased by 10%. W

by Max@Math Revolution » Sun Jun 14, 2020 5:49 pm
=>

Assume a = AD and b = AB are the lengths of the two sides of rectangle ABCD, as shown in the figure.
Then the area of the rectangle ABCD is ab.

Then the area of the rectangle AB’C’D’ is a(1 - 0.1)·b(1 + 0.1) = ab(1 - 0.01) after the sides change.

Thus, the area is decreased by 1%.

Therefore, A is the answer.
Answer: A
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