# 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 $$\text{unit}^2.$$

×