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In the figure above, \(ABCD\) is a rectangle, and each of \(AP\) and \(CQ\) is perpendicular to \(BD.\) If

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In the figure above, \(ABCD\) is a rectangle, and each of \(AP\) and \(CQ\) is perpendicular to \(BD.\) If

by Gmat_mission » Wed Sep 29, 2021 8:20 am

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In the figure above, \(ABCD\) is a rectangle, and each of \(AP\) and \(CQ\) is perpendicular to \(BD.\) If \(DP = PQ = QB,\) what is the ratio of \(AB\) to \(AD?\)

(A) \(\sqrt2\) to \(1\)

(B) \(\sqrt3\) to \(1\)

(C) \(\sqrt3\) to \(\sqrt2\)

(D) \(2\) to \(1\)

(E) \(2\) to \(\sqrt3\)

Answer: A

Source: Manhattan GMAT
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