In trapezoid PQRS, . Let X be the intersection of diagonals and ​. The area of triangle PQX is 20, and the area of triangle RSX is 45.

In trapezoid PQRS, \(\overline{PQ} \parallel \overline{RS}\). Let X be the intersection of diagonals \(\overline{PR}\) and \(\overline{QS}\). The area of triangle PQX is 20, and the area of triangle RSX is 45. Find the area of trapezoid PQRS.