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# Squares PQRV and VRST have sides of length 6

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Squares PQRV and VRST have sides of length 6 [#permalink]  27 Dec 2016, 02:42
Expert's post
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Question Stats:

70% (01:02) correct 30% (00:58) wrong based on 20 sessions
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#GREpracticequestion Squares PQRV and VRST.jpg [ 7.78 KiB | Viewed 357 times ]

Squares PQRV and VRST have sides of length 6

 Quantity A Quantity B The area of the shaded region PQS 36

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.
[Reveal] Spoiler: OA

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Joined: 10 Apr 2015
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Kudos [?]: 1792 [1] , given: 9

Re: PQRV [#permalink]  29 Dec 2016, 12:51
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Expert's post
Carcass wrote:

Squares PQRV and VRST have sides of length 6

 Quantity A Quantity B The area of the shaded region PQS 36

Let's add those lengths to the diagram:

If we focus on the shaded right triangle....

... we see its base has length 12 and its height is 6

Triangle area = (base)(height)/2 = (12)(6)/2 = 36

So, we have:
Quantity A: 36
Quantity B: 36

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Re: PQRV   [#permalink] 29 Dec 2016, 12:51
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