# What is the area of the quadrilateral $ADEC$ in $ABC$ right triangle in the following diagram?

In the right angled triangle $$ABC$$, $$\angle A = 90^\circ$$, $$AB=8$$, $$AC=6$$, $$BC = 10$$. $$D$$ is a point on $$AB$$ in such way that if a perpendicular $$DE$$ is drawn on $$BC$$ from $$D$$ then $$BE = 4$$. What is the area of the quadrilateral $$ADEC$$?