# A problem by Victor Loh

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*?