Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
A rectangle is shown with length x plus 10 and width 2 x plus 5. The inside of the rectangle is shaded other than an unshaded square with length x plus 1 and width x plus 1.
Write an expression for the area of the shaded region in its simplest form. Show all of your steps. explain in 1 - 2 sentences
The area of the shaded region can be found by subtracting the area of the unshaded square from the area of the rectangle.
Area of shaded region = (x + 10)(2x + 5) - (x + 1)(x + 1)
Area of shaded region = 2x^2 + 5x + 20x + 50 - x^2 - x - x - 1
Area of shaded region = x^2 + 24x + 49