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# The area of a square is doubled.

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Senior Manager
Joined: 20 May 2014
Posts: 282
Followers: 18

Kudos [?]: 50 [0], given: 220

The area of a square is doubled. [#permalink]  24 Oct 2017, 01:21
00:00

Question Stats:

53% (00:51) correct 46% (01:08) wrong based on 13 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
Joined: 03 Sep 2017
Posts: 521
Followers: 1

Kudos [?]: 343 [0], given: 66

Re: The area of a square is doubled. [#permalink]  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.

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