Barb is planning a sustainable fish farm venture for her large property. She has a total of 558 meters of wire for the electrified fencing which will be used to enclose two unconnected pool areas. One of the areas must be square, while the other must be a rectangle that is two times as long as it is wide. The square pond enclosure must contain at least 144 square meters and the other one (the rectangle) at least 1152 square meters. Find the maximum total area of the two enclosures.