Step-by-step explanation:
Area of shaded region
[tex] = (x + 10)(2x + 5) - (x + 1)(x + 1) \\ \\ = 2 {x}^{2} + 5x + 20x + 50 - ( {x}^{2} + 2x + 1) \\ \\ = 2 {x}^{2} +2 5x +50 - {x}^{2} - 2x - 1 \\ \\ = 2 {x}^{2} - {x}^{2} + 25x - 2x + 50 - 1 \\ \\ = {x}^{2} + 23x + 49 \\ [/tex]
