In the ellipse 4x +9y = 144 inscribed is a rectangle whose vertices lie on the ellipse and whose sides are parallel with the ellipse axes. longer side, which is

In the ellipse 4x +9y = 144 inscribed is a rectangle whose vertices lie on the ellipse and whose sides are parallel with the ellipse axes. Longer side, which is parallel to the major axis, relates to the shorter side as 3: 2. Find the area of the rectangle