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Which of the following could be the area of a regular hexagon in which

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Re: Which of the following could be the area of a regular hexagon in which [#permalink]
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Let $$n$$ be the side-length of a regular hexagon. Then the area of the shaded equilateral triangle is $$(\frac{√3}{4})n^2$$ and the area of the regular hexagon is $$(\frac{6√3}{4})n^2 = (\frac{3√3}{2})n^2$$ .

If $$n = 2$$, then $$(\frac{3√3}{2})n^2 = (\frac{3√3}{2})2^2 =6√3$$. None of the other values are possible for integer values of $$n$$.

Therefore, the answer is D.
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Re: Which of the following could be the area of a regular hexagon in which [#permalink]
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Re: Which of the following could be the area of a regular hexagon in which [#permalink]
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