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Euclidean 2Dhard
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A quadrilateral ABCDABCDABCD is circumscribed about a circle. If the lengths of the sides are AB=7,BC=x,CD=10,DA=yAB=7, BC=x, CD=10, DA=yAB=7,BC=x,CD=10,DA=y, and the area is 40340\sqrt{3}403​, what is the value of x+yx+yx+y?