Tricky geometry problem

Geometry Level 3

A circle passes through vertex \(C\) of a rectangle \(ABCD \) and touches its sides \(AB\) and \(AD\) at \(M\) and \(N\) respectively. If the distance from \(C\) to the line segment \(MN\) is equal to 5 units, find the area of the rectangle \(ABCD.\)