Question 143
Let $P$ be a point inside isosceles trapezoid $A B C D$ with $A B \parallel C D$ such that
$$
\angle P A D = \angle P D A = 90^{\circ} - \angle B P C
$$
If $P A = 14$, $A B = 18$, and $C D = 28$, compute the area of $A B C D$.
$$
\angle P A D = \angle P D A = 90^{\circ} - \angle B P C
$$
If $P A = 14$, $A B = 18$, and $C D = 28$, compute the area of $A B C D$.