# Problem of the Week Problem E Parabolic Art

Kenna likes making artistic creations using parabolas, to put on the walls of her math classroom. She drew a parabola with vertex $$E(7,9)$$ and plotted points $$A(9,8)$$ and $$B(3,b)$$ on the parabola as well as points $$C$$ and $$D$$ where the parabola intersects the $$x$$-axis, with $$C$$ to the left of $$D$$. Then she connected points $$A$$, $$B$$, $$C$$, and $$D$$ to form quadrilateral $$ABCD$$, and painted it blue. What is the area of quadrilateral $$ABCD$$?