In a rectangular garden, the length is 3 meters longer than twice the width. If the perimeter of the garden is 48 meters, what is the area of the garden in square meters?
Let the width of the garden be represented as $w$ meters. Then, the length $l$ can be expressed as $l = 2w + 3$ meters. The formula for the perimeter $P$ of a rectangle is given by:
$P = 2(l + w)$
Substituting the expressions for $l$ and $P$, we get:
$48 = 2((2w + 3) + w)$
After determining the width, calculate the area $A$ of the garden using the formula:
$A = l imes w$