For some positive integers p, quadrilateral A B C D with positive integer side lengths has perimeter p, right angles at B and C, A B=2, and C D=A D. How many different values of p<2015 are possible?

**Answer Choices**

A. 30

B. 31

C. 61

D. 62

E. 63

For some positive integers p, quadrilateral A B C D with positive integer side lengths has perimeter p, right angles at B and C, A B=2, and C D=A D. How many different values of p<2015 are possible?

**Answer Choices**

A. 30

B. 31

C. 61

D. 62

E. 63