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Quadrilateral ABCD is a rectangle.

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Quadrilateral ABCD is a rectangle. [#permalink] New post 12 Nov 2017, 01:29
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Question Stats:

62% (01:21) correct 37% (00:58) wrong based on 8 sessions
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Quadrilateral ABCD is a rectangle.

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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

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[Reveal] Spoiler: OA
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Re: Quadrilateral ABCD is a rectangle. [#permalink] New post 12 Nov 2017, 09:36
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Remember that figures in GRE are not drawn to scale, so that, in this case, our rectangle can be shrunk or widened as we want.

Having said that, if our triangle were a square, then quantity A would have been \(\frac{\sqrt2 x}{x} = \sqrt2\) and quantity B \(\frac{x}{x} = 1\), so that A>B.

However, it can be the case that AB = 3, AD = 1 so that AC = \(\sqrt{10}\). In this case A = \(\frac{\sqrt{10}}{3} \sim 1\) while B = 3 so that A<B.

Answer D
Re: Quadrilateral ABCD is a rectangle.   [#permalink] 12 Nov 2017, 09:36
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Quadrilateral ABCD is a rectangle.

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