MathNet 2016-part-07 — 182 problems (EN–VI) Question 70

Quadrilateral $ABCD$ satisfies $AB = 8$, $BC = 5$, $CD = 17$, $DA = 10$. Let $E$ be the intersection of $AC$ and $BD$. Suppose $BE : ED = 1 : 2$. Find the area of $ABCD$.