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SMO 2005 Junior Round 1 Question 5

SMO · SMO 2005 Junior Round 1

Question 5

In a square $ABCD$, let $P$ be a point on the side $BC$ such that $BP=3PC$ and $Q$ be the mid-point of $CD$. If the area of the triangle $PCQ$ is $5$, what is the area of triangle $QDA$?

Question illustration
  1. $5$
  2. $10$
  3. $15$
  4. $20$
  5. $25$