We have a Rectangle with sides parallel to axes (x and y). The rectangle is inside of the Ellipse $\displaystyle x^2/a^2$ $\displaystyle +$ $\displaystyle y^2/b^2$$\displaystyle = 1$

$\displaystyle a $and $\displaystyle b $> $\displaystyle 1$.

Calculate the dimensions of the rectangle with maximum area.

Thanks