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

Question

Mathematics

Larson

25 April, 10:20

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

+3

Answers (1)

Know the Answer?

Ellie Ferguson · Answer 1

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