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Director
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The figure shown below has area A. If the length of each [#permalink]
 12 Aug 2004, 20:16
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The figure shown below has area A. If the length of each side were doubled, what would then be the area in terms of A ?
A. 2A
B. 4A
C. 6A
D. 8A
E. 10A
Please explain your answer.
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Director
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B. 4A.
We know, XL + (Y-X)(L-M) = A
New Area is 2X*2L + (2Y-2X)(2L-2M)
=>4XL + 4 (Y-X)(L-M)
=>4A.
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GMAT Club Legend
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I sketch a little graph and got B)4A in 45 sec.
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Best Regards,
Paul
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Director
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B is the answer.
Paul, how did you solve using the graph ? I am trying to find out easy way to do problems for which I took a long time.
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GMAT Club Legend
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The portion in red is original the figure. The yellow portion is when every side is multiplied by 2. You can clearly see the 4A if red portion is A.
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Best Regards,
Paul
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Director
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40s. 4A
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CIO
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I saw this as a plug in, pure and simple (and I don't like plugging in too often - only where it makes perfect sense - here it did).
Since there's clearly an answer, and we're doubling every amount, and it's all proportional, then I just put down possible values for every side, got the area, and did it again with those values doubled.
Answer came out 4 times the original answer did.
Paul, I dug your method, too.
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Senior Manager
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If you think about the shape as a rectangle (with a missing segment), then doubling each side results in a rectangle 4 times the size (with a missing segment of 4 times the size as well)... Hence 4A.
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