AMC 10B 2015 Problem 22

Past Contests AMC 10 2015 Part B
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1

In the figure shown below, A B C D E is a regular pentagon and A G=1. What is F G+J H+C D ?

Answer Choices
A. 3
B. 12-4 \sqrt{5}
C. \dfrac{5+2 \sqrt{5}}{3}
D. 1+\sqrt{5}
E. \dfrac{11+11 \sqrt{5}}{10}