Part of the roof of a factory is devoted to mechanical support and part to green space. The area of the roof R of a large building can be modeled by the polynomial, 22−251+80000 and the area M of the roof that is devoted to mechanical support can be modeled by the polynomial, 2+224+31250. The rest of the area is a rectangular green space. Given that the area G of the green space is 123,750 square feet, write and solve quadratic equations to find the dimensions of the green space.