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Find the dimensions of the rectangle of maximum area with sides parallel to the coordinate axes that can be inscribed in the ellipse 3x2 +

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Find the dimensions of the rectangle of maximum area with sides parallel to the coordinate axes that can be inscribed in the ellipse 3x2 + 2433;2 = 243. Let length be the dimension parallel to the x-axis and let width be the dimension parallel to the y-axis. Length = D Width = E (Type exact answers, using radicals as needed.)

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