Problem 90

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Problem 90: (2006 AMC 12b, 16)

Regular hexagon $ABCDEF$ has vertices $A$ and $C$ at $(0,0)$ and $(7,1)$, respectively. What is its area? $\mathrm{(A)}\ 20\sqrt {3} \qquad$ $ \mathrm{(B)}\ 22\sqrt {3} \qquad$ $ \mathrm{(C)}\ 25\sqrt {3} \qquad$ $ \mathrm{(D)}\ 27\sqrt {3} \qquad$ $ \mathrm{(E)}\ 50$

Solution

Exercise 90: Solution

Regular hexagon $ABCDEF$ has vertices $A$ and $C$ at $(0,0)$ and $(9,3)$, respectively. What is its area?

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