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CEMC Gauss (Grade 7), 2009

Geometry Difficulty 3.0 AMC 10/12 Find the answer Canada

In square $ABCD$ , $P$ is the midpoint of $DC$ and $Q$ is the midpoint of $AD$ . If the area of the quadrilateral $QBCP$ is $15$ , what is the area of square $ABCD$ ?

(A) $27.5$ (B) $25$ (C) $30$ (D) $20$ (E) $24$

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