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2008 AMC 8 Question 23

AMC8 · 2008 AMC 8

Question 23

In square $ABCE,$ $AF=2FE$ and $CD=2DE.$ What is the ratio of the area of $\triangle BFD$ to the area of square $ABCE?$

Question illustration
  1. $ \ \dfrac{1}{6} $
  2. $ \ \dfrac{2}{9} $
  3. $ \ \dfrac{5}{18} $
  4. $ \ \dfrac{1}{3} $
  5. $ \ \dfrac{7}{20} $