Let ABCD be a parallelogram with area 15. Points P and Q are the pro- jections of A and C , respectively, onto line BD; and points R and S are the projections of B and D, respectively, onto line AC....

Extracted text: Let ABCD be a parallelogram with area 15. Points P and Q are the pro- jections of A and C , respectively, onto line BD; and points R and S are the projections of B and D, respectively, onto line AC. See the figure, which also shows the relative locations of these points. R D B S Suppose PQ = 6 and RS longer diagonal of ABCD. Then d² can be written in the form m + n /p, where m, n, and p are positive integers and p is not divisible by the square of any prime. What is m +n + p? 8, and let d denote the length of BD, the = (A) 81 (В) 89 (С) 97 (D) 105 (E) 113