Question

The figure shows two rectangles. Which expression represents the area of the shaded region?

Answer 1

The dimensions of the outer rectangle are
Width = x + 6x + x = 8x
Length = x + 9x + x = 11x
The area is
A1 = (8x)*(11x) = 88x²

The dimensions of the inner rectangle are
Width = 6x
Length = 9x
The area is
A2 = (6x)*(9x) = 54x²

The shaded area is the difference between the outer and inner rectangles.
Therefore the shaded area is
A = A1 - A2 = 88x² - 54x² = 34x²

Answer: 34x²

Answer 2

The expression represents the area of the shaded region is 34x².

To calculate the area of ​​the rectangle, just calculate the product of its base and its height, that is, the area is given by the formula A=b⋅h. In addition to the area, another important quantity is the perimeter. To calculate the perimeter of a rectangle, add its four sides.

Given the information that:

• The dimensions of the outer rectangle are
• Width = x + 6x + x = 8x
• Length = x + 9x + x = 11x

The area will be :

$A1 = (8x)*(11x) = 88x^2$

• The dimensions of the inner rectangle are
• Width = 6x
• Length = 9x

The area will be:

$A2 = (6x)*(9x) = 54x^2$

The difference between the outer and inner rectangles, is:

$A = A1 - A2 = 88x^2 - 54x^2 = 34x^2$

See more about area at brainly.com/question/11952845