Hello, robman!

Find the maximum area of the rectangle inscribed in the ellipse

Code:| * * * * | * * - - - + - - - * *| | |* | | y| * | | | * * | - - - + - - - | * * | | x | * | | | *| | |* * - - - + - - - * * | * * * *

Can you finish it now?