The length of a rectangle is represented by the function l(x) = 2x. the width of that same rectangle is represented by the function w(x) = 8x2 − 4x + 1. which of the following shows the area of the rectangle in terms of x?

(l + w)(x) = 8x2 − 2x + 1
(l + w)(x) = 8x2 − 6x + 1
(l ⋅ w)(x) = 16x3 − 4x + 1
(l ⋅ w)(x) = 16x3 − 8x2 + 2x

Option D is correct.

Step-by-step explanation:

Area of  rectangle(A) is given by:

where

l is the length of rectangle and w is the width of the rectangle respectively.

As per the statement:

Length of a rectangle L(x) = 2x and

Width of a rectangle W(x) =

Then by formula of area of rectangle:

Substitute the given values we have;

Using the distributive property:

Therefore, the area of the rectangle in terms of x is:

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step-by-step explanation: