Question

the length of a rectangle is represented by (6x - 2), and the width is represented by (x - 1). which expression best represents the perimeter of the rectangle? a 14x - 6 b - 8x + 2 c 6x² - 8x d 6x² - 8x + 2 e 6x² - 8x - 2

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a rectangle is $P = 2l+2w$, where $l$ is length and $w$ is width.

Step2: Substitute given expressions

Given $l = 6x - 2$ and $w=x - 1$, then $P=2(6x - 2)+2(x - 1)$.

Step3: Distribute the 2s

$P=(2\times6x-2\times2)+(2\times x - 2\times1)=12x-4 + 2x-2$.

Step4: Combine like - terms

$P=(12x+2x)+(-4 - 2)=14x-6$.

Answer:

A. $14x - 6$