Tangent Trapezoid

Geometry Level 5

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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