Width of Rectangular Patio

A family decided to renovate their backyard. They plan to install a rectangular patio that measures twice the length of its width. If the total area of the patio is 288 square feet, what will be the width of the patio?

Let the width be represented by the variable $w$. Then, the length can be expressed as $2w$. The area $A$ of a rectangle is calculated by the formula:

$$ A = ext{length} imes ext{width} $$

Substituting the values, we have:

$$ 288 = (2w)(w) $$