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}

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}