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Omni-MATH / A convex quadrilateral is drawn in the coordinate plane such that each of its…

Problem

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problem

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?
Plain-text mathematical notation (without MathML)
A convex quadrilateral is drawn in the coordinate plane such that each of its vertices (x,y) satisfies the equations x²+y²=73 and xy=24. What is the area of this quadrilateral?
Original LaTeX notation
A convex quadrilateral is drawn in the coordinate plane such that each of its vertices $(x, y)$ satisfies the equations $x^{2}+y^{2}=73$ and $x y=24$. What is the area of this quadrilateral?

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Source and history

task_id
05b5ae8c-1641-5daa-bbff-e844d8c6037c
task_key
test--05b5ae8c-1641-5daa-bbff-e844d8c6037c
task_revision_id
1
config / split
/ test

Official source

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