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

Printable View

- June 16th 2009, 11:02 AMosodudRectangle 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 - June 16th 2009, 11:08 AMskeeter
- June 16th 2009, 11:20 AMpankaj
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=