Select the correct answer.
The length of a rectangle is (x - 8) units, and its width is (+ 11) units. Which expression can represent the area of the rectangle?
A 12 +31 + 88
B. 12 - 3.1 + 88
C. 12 - 31 - 88
D. 12 + 3.1 - 88

Select the correct answer The length of a rectangle is x 8 units and its width is 11 units Which expression can represent the area of the rectangle A 12 31 88 B class=

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Answer:

D. [tex] x^2 + 3x - 88 [/tex]

Step-by-step explanation:

Area of rectangle = [tex] length (l) * width (w) [/tex]

Length of rectangle = (x - 8)

Width = (x + 11)

Area of rectangle = [tex] (x - 8)(x + 11) [/tex]

Expand the expression

[tex] x(x + 11) -8(x + 11) [/tex] (distributive property of multiplication)

[tex] x^2 + 11x - 8x - 88 [/tex]

Combine like terms

[tex] x^2 + 3x - 88 [/tex]

Expression for the area of the rectangle = [tex] x^2 + 3x - 88 [/tex]

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