Question

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.

Answer 1

(x + 125), (x - 600)

Explanation:

The objective is to write and solve the quadratic equations to find the dimensions of the green space.

The given information is

The area of the roof R of a large building is

`2x^2 -251x+ 80,000`

The area devoted to Mechanical support is

`x^2 + 224x+31250`

The area of the green space is 123,750 square feet.

check the attached file for the rest of the solution