Answer
$G$
Work Step by Step
The perimeter of a rectangle is given by the formula:
$P = 2l + 2w$, where $l$ is the length and $w$ is the width.
Let us plug in the information we are given, which is that the length is $x - 2$ and the width is $5x$:
$P = 2(x - 2) + 2(5x)$
Let's use the distributive property to get rid of the parentheses:
$P = 2(x) + 2(-2) + 2(5x)$
Multiply to simplify:
$P = 2x - 4 + 10x$
Combine like terms:
$P = 12x - 4$
This answer corresponds to option $G$.
