A convex quadrilateral A B C D with area 2002 contains a point P in its interior such that P A=24, P B=32, P C=28, and P D=45. Find the perimeter of A B C D.
Answer Choices
A. 4 \sqrt{2002}
B. 2 \sqrt{8465}
C. 2(48+\sqrt{2002})
D. 2 \sqrt{8633}
E. 4(36+\sqrt{113})