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Australian AMC 2009 - Intermediate Question 23

AMC AUSTRALIA · Australian AMC 2009 - Intermediate

Question 23

$PQRS$ is a square. $T$ and $U$ are midpoints of the sides $PS$ and $PQ$ respectively. $TQ$ and $SU$ intersect at $V$. What fraction of the area of the square is the area of quadrilateral $QVSR$?

Question illustration
  1. $\frac12$
  2. $\frac58$
  3. $\frac23$
  4. $\frac34$
  5. $\frac59$