2019 AIME I Problem 3

In \triangle P Q R, P R=15, Q R=20, and P Q=25. Points A and B lie on \overline{P Q}, points C and D lie on \overline{Q R}, and points E and F lie on \overline{P R}, with P A=Q B=Q C=R D=R E=P F=5. Find the area of hexagon A B C D E F.