A problem by Victor Loh

Level pending

Let there exist a quadrilateral ABCD such that AB = 5, BC = 3, CD = 10, DA = 8 and the internal angle ∠ABC = 120°. If the area of the quadrilateral ABCD can be expressed in the form \frac{x}{y}, where x and y are coprime positive integers,
what is the last 3 digits of the sum of x and y?

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