Rectangular Garden with Path Calculation

Emily is creating a rectangular garden that will have a path along its perimeter. The length of the garden is 8 feet more than its width. If the total area of the garden alone (excluding the path) is 120 square feet, what is the total perimeter of the garden including the path?

Let the width be denoted as $w$. Then the length can be expressed as $l = w + 8$. The area of the garden can be written as:

$A = l \times w = 120$ square feet.

Substituting for $l$, we have:

$(w + 8) \times w = 120$.

After calculating the dimensions, find the total perimeter.