olymmath

HMMT 2002 E5

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A square and a regular hexagon are drawn with the same side length. If the area of the square is 3\sqrt{3}, what is the area of the hexagon?

Dataset text NuminaMath olympiads. Quoted with source.

Also HMMT 2002 F5, HMMT 2002 G3.

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\frac{9}{2}

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