Let A B C D be a cyclic quadrilateral with circumcenter O and radius 10. Let sides A B, B C, C D, and D A have midpoints M, N, P, and Q, respectively. If M P=N Q and O M+O P=16, then what is the area of triangle \triangle O A B?
Let A B C D be a cyclic quadrilateral with circumcenter O and radius 10. Let sides A B, B C, C D, and D A have midpoints M, N, P, and Q, respectively. If M P=N Q and O M+O P=16, then what is the area of triangle \triangle O A B?