The length of a rectangle is represented by the function L(x) = 5x. The width of that same rectangle is represented by the function W(x) = 2x2 − 4x 13. Which of the following shows the area of the rectangle in terms of x? (L • W)(x) = 10x3 − 4x 13 (L • W)(x) = 10x3 − 20x2 65x (L W)(x) = 2x2 1x 13 (L W)(x) = 2x2 − 9x 13.

The area can be defined as the space occupied by a flat shape or the surface of an object. The area of a rectangle is the product of its length and width.

Area of Rectangle = Length [tex]\times[/tex] Width

Given that length of a rectangle is L(x) = 5x and width is W(x) = 2x^2 − 4x + 13.

The area of the rectangle is given below.

[tex]A =(L \times W)(x) = L(x) \times W(x)[/tex]

[tex]A = (5x) \times (2x^2 - 4x +13)[/tex]

[tex]A = (5x \times 2x^2 ) - ( 5x \times 4x) + (5x \times 13x)[/tex]

[tex]A = 10x^3 - 20x^2 + 65x[/tex]

Hence we can conclude that the area of the rectangle is [tex]10x^3 - 20x^2 + 65x[/tex]. Option B shows the correct area of the rectangle.

To know more about the area of a rectangle, follow the link given below.

https://brainly.com/question/14383947.