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IMAS 2014–2015 — Junior — Round 2 Question 2

IMAS · IMAS 2014–2015 — Junior — Round 2

Question 2

In triangle $ABC$, $D$ is the midpoint of $BC$. $E$ is an arbitrary point on $CA$, and $F$ is the midpoint of $BE$. If the area of triangle $ABC$ is 120 cm² and the area of the quadrilateral $AFDC$ is 80 cm², what is the area, in cm², of triangle $BDF$?

Question illustration
  1. 10 cm²
  2. 15 cm²
  3. 17.5 cm²
  4. 20 cm²
  5. 25 cm²