The isosceles right triangle A B C has right angle at C and area 12.5. The rays trisecting \angle A C B intersect A B at D and E. What is the area of \triangle C D E ?

**Answer Choices**

A. \dfrac{5 \sqrt{2}}{3}

B. \dfrac{50 \sqrt{3}-75}{4}

C. \dfrac{15 \sqrt{3}}{8}

D. \dfrac{50-25 \sqrt{3}}{2}

E. \dfrac{25}{6}