Area: 5x² + 7x - 26, Answer C.
To solve the area if the shaded region, let's find the are of the whole figure then find the area of the open rectangle in the center and find the difference of them both.
(3x - 4)(2x + 2)
6x² - 8x + 6x - 8
6x² - 2x - 8
Next, let's solve the area of the open rectangle in the center of the shaded region.
(x - 6)(x - 3)
x² - 6x - 3x + 18
x² - 9x + 18
Now, let's take the difference between both the areas.
(6x² - 2x - 8) - (x² - 9x + 18)
6x² - 2x - 8 - x² + 9x - 18
5x² + 7x - 26