Mathegoras

Coordinate geometry › Area from coordinates › Area from coordinates

Area of quadrilateral from circle and hyperbola

High school · ●●○○○ 20 pts

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=24xy=24. What is the area of this quadrilateral?

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systems of equationsquadratic equationsarea of rectangle