Answer
The perimeter of the rectangle is $10x$.
Work Step by Step
We know that the perimeter of a rectangle can be given by the formula:
$$P = 2l + 2w$$
Let's plug in $x$ for the width and $4x$ for the length:
$$P = 2(4x) + 2(x)$$
We simplify to get:
$$P = 8x + 2x$$
We then combine like terms:
$$P = 10x$$
The perimeter of the rectangle is $10x$.
