3.55: Perpendicular bisector and triangle area

0606/21/M/J/25 — Question 4 · 7 marks

The coordinates of points AA, BB, CC and DD are A(−4,−3)A(-4,-3), B(6,9)B(6,9), C(15,10)C(15,10) and D(14,−1)D(14,-1).
The line LL has equation y=11x−75y = 11x - 75.
The perpendicular bisector of the line ABAB meets LL at the point EE.
Find the area of triangle CDECDE.
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