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Rectangle ABCD has area 200.An ellipse w...

Rectangle ABCD has area 200.An ellipse with area `200pi` passes through A and C and has foci at B and D.Find the perimeter of the rectangle.

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Knowledge Check

  • The ellipse E _(1) : (x ^(2))/(9) + (y ^(2))/(4) = 1 is inscribed in a rectangle R whose sides are parallel to the coordinate axes. Another ellipse E _(2) passing through the point (0,4) circumscribes the rectangle R . The eccentricity of the ellipse is

    A
    `(sqrt2)/(2)`
    B
    `(sqrt3)/(2)`
    C
    `(1)/(2)`
    D
    `(3)/(4)`

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