AMC 10 2008a Problem 18

A right triangle has perimeter $32$ and area $20$. What is the length of its hypotenuse? $\mathrm{(A)}\ \frac{57}{4} \mathrm{(B)}\ \frac{59}{4} \mathrm{(C)}\ \frac{61}{4} \mathrm{(D)}\ \frac{63}{4} \mathrm{(E)}\ \frac{65}{4}$