olymmath

HMMT 2004 U12

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A convex quadrilateral is drawn in the coordinate plane such that each of its vertices (x,y)(x, y) satisfies the equations x2+y2=73x^{2}+y^{2}=73 and xy=24x y=24. What is the area of this quadrilateral?

Dataset text NuminaMath olympiads. Quoted with source.

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