Tricky geometry problem

Geometry Level 4

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 \(ABCD.\)

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