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MathNet 2024-part-05 — 168 problems (EN–VI) Question 135

Math Olympiad Vault · MathNet 2024-part-05 — 168 problems (EN–VI)

Question 135

Quadrilateral $ABCD$ is a parallelogram, and $E$ is the midpoint of the side $\overline{AD}$. Let $F$ be the intersection of lines $EB$ and $AC$. What is the ratio of the area of quadrilateral $CDEF$ to the area of $\triangle CFB$?
(A) 5:4 (B) 4:3 (C) 3:2 (D) 5:3 (E) 2:1