The coordinates of points \(A\), \(B\), \(C\) and \(D\) are as follows.
\(A(-4,3)\quad B(6,-9)\quad C(15,10)\quad D(14,-1)\)
The line \(L\) has equation \(y=11x-75\).
The perpendicular bisector of the line \(AB\) meets \(L\) at the point \(E\).
Find the area of triangle \(CDE\).[7]
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