Question

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

Answer 1

Answer: Area = LW

Area = 2x (8x^2 − 4x + 1)

Area = 16x^3 - 8x^2 + 2x

Answer 2

I believe the correct answer from the choices listed above is the last option. The area of the rectangle can be calculated by the expression given as (L ⋅ W)(x) = 16x3 − 8x2 + 2x. We obtian this as follows:


Area = LW
Area = 2x (8x^2 − 4x + 1)
Area = 16x^3 - 8x^2 + 2x