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CEMC Gauss (Grade 7), 2009

Geometry Difficulty 3.0 AMC 10/12 Find the answer Canada

Each of $\triangle PQR$ and $\triangle STU$ has an area of $1$ . In $\triangle PQR$ , $U$ , $W$ and $V$ are the midpoints of the sides, as shown. In $\triangle STU$ , $R$ , $V$ and $W$ are the midpoints of the sides. What is the area of parallelogram $UVRW$ ?

(A) $1$ (B) $\frac{1}{2}$ (C) $\frac{1}{3}$ (D) $\frac{1}{4}$ (E) $\frac{2}{3}$

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