INMO Problem!

Geometry Level 3

A circle passes through the vertex \(C\) of a rectangle \(ABCD\) and is tangent to the 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 \(ABCD\) in \(\text{unit}^2.\)

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