# Enjoy geometry with rectangle, circle and parabola.....

Geometry Level 4

The points of intersection of the circle $$x^{2} +y^{2} = 5$$ with the parabolas $$y^{2} = 4\sqrt5 x$$ and $$y^{2} = -4\sqrt5 x$$ form a rectangle. Find the area of the rectangle.

Give answer correct to two decimal places.

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