# 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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