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The area of a square is doubled.

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Senior Manager
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Joined: 20 May 2014
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The area of a square is doubled. [#permalink] New post 24 Oct 2017, 01:21
00:00

Question Stats:

45% (00:59) correct 54% (01:08) wrong based on 11 sessions
The area of a square is doubled.

Quantity A
Quantity B
The percent increase in one side of the resulting square
50%


A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given


Kudos for correct solution.
[Reveal] Spoiler: OA
Director
Director
Joined: 03 Sep 2017
Posts: 521
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Kudos [?]: 327 [0], given: 66

Re: The area of a square is doubled. [#permalink] New post 25 Oct 2017, 07:42
Let's try with a square whose area is 25, thus having a side of 5. Then, if the area is doubled, it will become equal to 50 and its side equal to \(\sqrt50 = 5\sqrt2\).

Then, the increase in the side length is equal to \(\frac{5\sqrt2-5}{5}*100 = 41%\), thus 50% is greater.

Answer B
Re: The area of a square is doubled.   [#permalink] 25 Oct 2017, 07:42
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The area of a square is doubled.

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