Geometry
# Quadrilaterals

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 \(m+n\).

What is the area of a rhombus of side 13 such that the sum of its two diagonals is 34?

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