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1964 AMC 12 Question 22

AMC12 · 1964 AMC 12

Question 22

Given parallelogram $ABCD$ with $E$ the midpoint of diagonal $BD.$ Point $E$ is connected to a point $F$ in $DA$ so that $DF=\frac13DA.$ What is the ratio of the area of triangle $DFE$ to the area of quadrilateral $ABEF?$
  1. $1:2$
  2. $1:3$
  3. $1:5$
  4. $1:6$
  5. $1:7$