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Rectangle area with vertices on a hyperbola

High school · ●●●○○ 50 pts

The diagonals of a rectangle are both 10 and intersect at (0,0)(0,0). All four vertices of the rectangle lie on the curve y=12xy=\frac{12}{x}. Calculate the area of the rectangle.

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hyperbolasrectanglessystems of equationsPythagorean theorem