The area of the shaded portion of the rectangle is 34x².
Area of a rectangle
where
l = length
w = width
Therefore,
area of the shaded portion = area of the bigger rectangle - area of smaller rectangle
area of smaller rectangle = 9x × 6x = 54x²
area of the bigger rectangle = 11x × 8x = 88x²
area of the shaded portion = 88x² - 54x²
area of the shaded portion = = 34x²
learn more on rectangle here: https://brainly.com/question/4216154
