# Tangle with triangle

**Geometry**Level 5

If \(\color{purple}{AE~=~2.5}\), \(\color{orange}{CD~=~\sqrt{13}}\) and \(\color{green}{BF~=~\dfrac{\sqrt{73}}{2}}\), and \(P\) be the image(reflection) of point \(A\) about side \(BC\).

Then find the area of the quadrilateral \(\color{red}{ABPC}\)

Note the given picture is not necessarily correct.