Part of the roof of a factory is developed to mechanical support and part to green space. THe area of the roof R of a larger building can be modeled by the polynomial 2x2-251x+80000 and the area of M roof that is devoted to mechanical support can be modeled by the polynomial x2+2241x+31250. The rest of the area is a rectangular green space. Given the area of G of the green space is 123,750 square feet, write and solve the quadratic equations to find the dimensions of the green space.