# Tangent Trapezoid

Geometry Level 4

Two circles with radius $$3$$ and $$12$$ are externally tangent to each other.

Let $$CD$$ and $$EF$$ be the common external tangent to both the circles with $$C$$ and $$F$$ on one circle and $$D$$ and $$E$$ on the other circle.

What is the area of the trapezoid $$CDEF$$ ?

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