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regular hexagon + equilateral equal perimeter (HOMC 2015 J Q4)

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August 6, 2019
geometryperimeterareas

Problem Statement

A regular hexagon and an equilateral triangle have equal perimeter. If the area of the triangle is 434\sqrt3 square units, the area of the hexagon is
(A): 535\sqrt3, (B): 636\sqrt3, (C): 737\sqrt3, (D): 838\sqrt3, (E): None of the above.
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