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IMSO 2010 — International Mathematics — Short Answer Question 1

IMSO Maths · IMSO 2010 — International Mathematics — Short Answer

Question 1

$E$ is the midpoint of side $BC$ of triangle $ABC$. Point $F$ lies on $AC$ and $AC=3FC$. Find the ratio of the area of quadrilateral $ABEF$ to the area of triangle $ABC$.