Follow The Fold

Geometry Level 3

In rectangle ABCD (below left), \(AB=3\) and \(BC=5\). The corner at C is folded up (below right) and lands on \(\overline{AB}\) so that \(AC=2\) and \(CB=1\).

The area of quadrilateral CPNM can be written as \(\frac{m}{n}\), where m and n are positive, coprime integers. Find \(m+n\).

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