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If the length of a certain square increases by 10% and the width of th
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02 Apr 2024, 23:19
02 Apr 2024, 23:19
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If the length of a certain square increases by 10% and the width of the square decreases by 10%, the area of the resulting rectangle will be what percentage of the area of the original square?
A. 98%
B. 99%
C. 100%
D. 101%
E. 102%
A. 98%
B. 99%
C. 100%
D. 101%
E. 102%
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Re: If the length of a certain square increases by 10% and the width of th
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09 May 2024, 11:23
09 May 2024, 11:23
1
Let x = the length and y = the width
The area of the original square is x*y
After the length increases by 10%, the new length is 1.1x
After the width decreases by 10%, the new width is 0.9y
The area of the resulting rectangle is 1.1x * 0.9y = 0.99xy
0.99xy / xy = 99%
The area of the original square is x*y
After the length increases by 10%, the new length is 1.1x
After the width decreases by 10%, the new width is 0.9y
The area of the resulting rectangle is 1.1x * 0.9y = 0.99xy
0.99xy / xy = 99%
gmatclubot
Re: If the length of a certain square increases by 10% and the width of th [#permalink]
09 May 2024, 11:23
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