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HMMT November 2018 U6

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An equilateral hexagon with side length 1 has interior angles 90∘,120∘,150∘,90∘,120∘,150∘90^{\circ}, 120^{\circ}, 150^{\circ}, 90^{\circ}, 120^{\circ}, 150^{\circ} in that order. Find its area.

Dataset text NuminaMath olympiads. Quoted with source.

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\frac{3+\sqrt{3}}{2}

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