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2006 AMC 12B Question 13

AMC12 · 2006 AMC 12B

Question 13

Rhombus $ABCD$ is similar to rhombus $BFDE.$ The area of rhombus $ABCD$ is $24,$ and $\angle BAD = 60^\circ.$ What is the area of rhombus $BFDE?$

Question illustration
  1. $6$
  2. $4\sqrt{3}$
  3. $8$
  4. $9$
  5. $6\sqrt{3}$