Nondegenerate \triangle A B C has integer side lengths, \overline{B D} is an angle bisector, A D= 3 , and D C=8. What is the smallest possible value of the perimeter?

**Answer Choices**

A. 30

B. 33

C. 35

D. 36

E. 37

Nondegenerate \triangle A B C has integer side lengths, \overline{B D} is an angle bisector, A D= 3 , and D C=8. What is the smallest possible value of the perimeter?

**Answer Choices**

A. 30

B. 33

C. 35

D. 36

E. 37