Similar Triangles Might Help?

Geometry Level 1

In the above diagram, \(\square ABCD\) is a square with side \(\overline{AD}\) extended to point \(E\), and \(\overline{BE}\) is a straight line. If the length of \(\overline{BC}\) is \(\lvert \overline{BC}\rvert = a=30\) and \(\lvert \overline{CF}\rvert =b= 20,\) what is the area of \(\triangle CEF?\)

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