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2004 AMC 10A Question 20

AMC10 · 2004 AMC 10A

Question 20

Points $E$ and $F$ are located on square $ABCD$ so that $\triangle BEF$ is equilateral. What is the ratio of the area of $\triangle DEF$ to that of $\triangle ABE?$

Question illustration
  1. $\dfrac{4}{3}$
  2. $\dfrac{3}{2}$
  3. $\sqrt{3}$
  4. $2$
  5. $1 + \sqrt{3}$