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SMO 2016 Junior Round 1 Question 6

SMO · SMO 2016 Junior Round 1

Question 6

In the diagram $D$ is the midpoint of $AB$, $EF=2CF$ and $AF$ is parallel to $DE$. Given the area of triangle $GFC$ is $4$, find the area of triangle $ADG$.

Question illustration
  1. $32$
  2. $36$
  3. $40$
  4. $64$
  5. $76$