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Square ABCD has an area of 9 square inches. Sides AD and BC

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Square ABCD has an area of 9 square inches. Sides AD and BC [#permalink] New post 31 Jul 2012, 19:11
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  35% (medium)

Question Stats:

76% (01:52) correct 24% (00:30) wrong based on 33 sessions
Square ABCD has an area of 9 square inches. Sides AD and BC are lengthened to x inches each. By how many inches were sides AD and BC lengthened?
Attachment:
Square.png
Square.png [ 5.13 KiB | Viewed 1721 times ]


(1) The diagonal of the resulting rectangle measures 5 inches.
(2) The resulting rectangle can be cut into three rectangles of equal size.

Can anyone help me vvith B please .. Ive got A right
[Reveal] Spoiler: OA

Last edited by Bunuel on 01 Aug 2012, 02:47, edited 1 time in total.
Added the diagram.
Manager
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Re: Square ABCD has an area of 9 square inches. [#permalink] New post 31 Jul 2012, 22:01
Edit: never mind I thought it was a rectangle instead of a square, deleted my post to avoid confusion, I keep my explanation of statement 2 since it is mentioned by someone else below.


2) Any rectangle can be divided into 3 rectangles of equal size, insufficient

Last edited by duriangris on 31 Jul 2012, 23:40, edited 1 time in total.
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Re: Square ABCD has an area of 9 square inches. [#permalink] New post 31 Jul 2012, 22:50
(1) Given that the area of the square is 9, then each side of the square is 3.
The lengthened sides will be of length 3 + x each, and the diagonal of the obtained rectangle being 5,
we can write (x+3)^2+3^2=5^2, from which (x+3)^2=16, so x = 1.
Sufficient.

(2) Obviously, not sufficient, as was already mentioned by "duriangris" in the previous post.

Answer A.
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Joined: 22 Jun 2012
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GMAT 1: 730 Q49 V40
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Kudos [?]: 16 [0], given: 6

Re: Square ABCD has an area of 9 square inches. [#permalink] New post 31 Jul 2012, 23:38
EvaJager wrote:
(1) Given that the area of the square is 9, then each side of the square is 3.
The lengthened sides will be of length 3 + x each, and the diagonal of the obtained rectangle being 5,
we can write (x+3)^2+3^2=5^2, from which (x+3)^2=16, so x = 1.
Sufficient.

(2) Obviously, not sufficient, as was already mentioned by "duriangris" in the previous post.

Answer A.

Gosh! it was a square not a rectangle!! :lol:
Re: Square ABCD has an area of 9 square inches.   [#permalink] 31 Jul 2012, 23:38
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Square ABCD has an area of 9 square inches. Sides AD and BC

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