The area of the shaded region of the rectangle is [tex]A = 4\cdot x + 4[/tex].
How to find the area of the shaded area of a rectangle
The area for a rectangle is the product of width and length, the shaded area of the rectangle is found by subtracting the area of the small rectangle from the area of the big one. Thus,
[tex]A = (x+2)^{2}-x^{2}[/tex]
[tex]A = 4\cdot x + 4[/tex]
The area of the shaded region of the rectangle is [tex]A = 4\cdot x + 4[/tex]. [tex]\blacksquare[/tex]
To learn more on rectangles, we kindly invite to check this verified question: https://brainly.com/question/10046743
