The length of a rectangle is represented by the function l(x) = 6x. the width of that same rectangle is represented by the function w(x) = 4x2 − 3x + 8. which of the following shows the area of the rectangle in terms of x?

Length of the rectangle, L(x) = 6x
Width of the rectangle, W(x) = 4x² - 3x + 8

Area of a rectangle = Length * Width
Therefore, Area od the rectangle = 6x (4x² - 3x + 8)

= (4x² · 6x) - (3x · 6x) + (8 · 6x)

= 24x³ - 18x² + 48x

We know that the area of a rectangle can be computed by multiplying the length times the width. 

P = L X W

Now taking into account the given, we can say that:


Now let's simplify the expression by doing the operation and you will have this as your result: