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Omni-MATH / 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.

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problem

Quadrilateral ABCDA B C D satisfies AB=8,BC=5,CD=17,DA=10A B=8, B C=5, C D=17, D A=10. Let EE be the intersection of ACA C and BDB D. Suppose BE:ED=1:2B E: E D=1: 2. Find the area of ABCDA B C D.
Plain-text mathematical notation (without MathML)
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.
Original LaTeX notation
Quadrilateral $A B C D$ satisfies $A B=8, B C=5, C D=17, D A=10$. Let $E$ be the intersection of $A C$ and $B D$. Suppose $B E: E D=1: 2$. Find the area of $A B C D$.

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