Question

nQuestion 6Mutiple Choice Worth 1 points)(06.04 MC)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 interms of x?(L+ W)(x)=8x²-2x+1(L + W)(x)=8x² - 6x +1(L• W)(x)=16x-4x+1(L • W)(x)=16x³-8x²+2x

Answer 1

`D\text{ :}(L\text{ }\circ\text{ W\rparen\lparen x\rparen= 16x}^3-8x^2+2x`

Step-by-step explanation:

Here, we want to select the option that best represents the area of the rectangle in terms of x

Mathematically, the area can be calculated by:

`A(x)\text{ = L\lparen x\rparen }*\text{ W\lparen x\rparen}`

We have that as:

`\begin{gathered} 2x\text{ }*\text{ 8x}^2-4x+1 \\ =\text{ 2x\lparen8x}^2-4x+1) \\ =\text{ 16x}^3-8x^2+2x \end{gathered}`