Jamie wants to build a rectangular garden in her backyard. She plans to make the length of the garden twice as long as the width. If the width of the garden is represented by the variable $w$, what will be the area of the garden in terms of $w$?
Use the formula for the area of a rectangle, which is given by:
$$A = l imes w$$
where $l$ is the length and $w$ is the width. Remember that $l = 2w$.