We have a Rectangle with sides parallel to axes (x and y). The rectangle is inside of the Ellipse

and > .

Calculate the dimensions of the rectangle with maximum area.

Thanks

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- Jun 16th 2009, 12:02 PMosodudRectangle and Ellipse
We have a Rectangle with sides parallel to axes (x and y). The rectangle is inside of the Ellipse

and > .

Calculate the dimensions of the rectangle with maximum area.

Thanks - Jun 16th 2009, 12:08 PMskeeter
- Jun 16th 2009, 12:20 PMpankaj
Let the vertices of the rectangle be .

Length of the rectangle=

Breadth of the rectangle=

.......(since

Area of the largest rectangle = , for which

Thus and therefore

Length=

Breadth=