Hey, i need some with my homework! i will be giving 30 points

Hello from MrBillDoesMath!

x^2 + 23 x + 49

Discussion:

Area of Shaded region =

Area of Full rectangle             - Area of small rectangle =

(2x+5)(x+10)                              - (x+1)^2                              =

( 2x*x + 2x*10 * 5*x + 5*10)     - (x^2 + 2x + 1)                    =

(2x^2+25x+50)                        - (x^2 +2x + 1)                     =

(2x^2 - x^2) + (25x -2x) + (50-1)                                          =

x^2 + 23 x + 49

Thank you,

MrB

rounding to the nearest thousandth would be 452,000