Given:
Given that the length of the rectangle is 5x + 2.
The width of the rectangle is x - 4.
We need to determine the area of the rectangle in a simplified polynomial expression.
Area of a rectangle:
The area of the rectangle can be determined using the formula,
[tex]A=length \times width[/tex]
Substituting length = 5x + 2 and width = x - 4, we get;
[tex]A=(5x+2)(x-4)[/tex]
Multiplying the terms, we have;
[tex]A=5x^2-20x+2x- 8[/tex]
Adding the like terms, we get;
[tex]A=5x^2-18x- 8[/tex]
Thus, the area of the rectangle is [tex]5x^2-18x-8[/tex]
Hence, Option c is the correct answer.
