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An equilateral triangle with side a units is cut on the vertices to make it a regular hexagon. What is the area of the hexagon?
$$\frac{3a^{2}}{2\sqrt{3}}$$ square units
$$\frac{2a^{2}}{3\sqrt{3}}$$ square units
$$\frac{2a^{2}}{\sqrt{3}}$$ square units
$$\frac{a^{2}}{2\sqrt{3}}$$ square units
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