- (E) Center the ellipse at the origin and let (x, y) be the coordinates of the vertex of the
inscribed rectangle in the first quadrant, as shown in the figure.
To maximize the rectangle’s area A = 4xy, solve the equation of the ellipse, gettingSo Graph in the window [0,5] × [0,150],
The calculator shows that the maximum area (the y-coordinate) equals 100.