The diagram shows 28 lattice points, each one unit from its nearest neighbors. Segment A B meets segment C D at E. Find the length of segment A E.

**Answer Choices**

A. 4 \sqrt{5} / 3

B. 5 \sqrt{5} / 3

C. 12 \sqrt{5} / 7

D. 2 \sqrt{5}

E. 5 \sqrt{65} / 9