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?

Answer 1

Answer: (L. W)(x) = 16x^3 - 8x^2 + 2x

Explanation:

The Area of a rectangle is calculated thus:

Area (A) = Width(W) × Length(L)

Given that:

Length = L(x) = 2x

Width = W(x) = 8x2 − 4x + 1

A = L(x) * W(x) = (2x) * (8x2 − 4x + 1)

Factorizing L(x) * W(x)

L(x) * W(x) = (L . W)(x)

(L . W)(x) = (2x) * (8x2 − 4x + 1)

(L . W)(x) = 16x^3 - 8x^2 + 2x