2015 AIME I Problems/Problem 4

Problem

Point $B$ lies on line segment $\overline{AC}$ with $AB=16$ and $BC=4$ . Points $D$ and $E$ lie on the same side of line $AC$ forming equilateral triangles $\triangle ABD$ and $\triangle BCE$ . Let $M$ be the midpoint of $\overline{AE}$ , and $N$ be the midpoint of $\overline{CD}$ . The area of $\triangle BMN$ is $x$ . Find $x^2$ .

2015 AIME I (Problems • Answer Key • Resources)
Preceded by Problem 3	Followed by Problem 5
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2015 AIME I Problems/Problem 4

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