Jeff is painting two murals on the front of an old apartment building that he is renovating. One mural will cover the

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Jeff is painting two murals on the front of an old apartment building that he is renovating. One mural will cover the quadrilateral face \(ABCD\) while the other will cover the circular face (shown to the right, with radius \(XY\)). Assuming that the thickness of the coats of paint is negligible, will each mural require the same amount of paint? Note: Figures are not drawn to scale.

(1) \(AB = BC = CD = DA\) and \(AB=XY\sqrt{\pi}\)

(2) \(AC = BD\) and \(AC=XY\sqrt{2\pi}\)

Answer: C

Source: Manhattan GMAT
Source: — Data Sufficiency |