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2015 AMC 10B Question 22

AMC10 · 2015 AMC 10B

Question 22

In the figure shown below, $ABCDE$ is a regular pentagon and $AG=1.$ What is $FG + JH + CD?$

Question illustration
  1. $ 3 $
  2. $ 12-4\sqrt{5} $
  3. $ \dfrac{5+2\sqrt{5}}{3} $
  4. $ 1+\sqrt{5} $
  5. $ \dfrac{11+11\sqrt{5}}{10} $