6. In trapezoid $P Q R S$, it is known that $\angle P Q R=90^{\circ}, \angle Q R S<90^{\circ}$, diagonal $S Q$ is 24 and is the bisector of angle $S$, and the distance from vertex $R$ to line $Q S$ is 16. Find the area of trapezoid PQRS.

Answer. $\frac{8256}{25}$.