A rectangular field has a length that is twice its width. If the total perimeter of the field is 96 meters, what is the area of the field in square meters?
To determine the perimeter $P$ of a rectangle, use the formula:
$P = 2(l + w)$
where $l$ is the length and $w$ is the width. In this case, if we let the width be $w$, then the length is $2w$. Substitute these expressions into the perimeter formula.