Area of a Rectangular Garden with Given Perimeter

Consider a rectangular garden that has a length that is twice its width. The perimeter of the garden is 72 meters. What is the area of the garden in square meters?

To solve this problem, we can use the formulas for the perimeter and area of a rectangle. The perimeter $P$ of a rectangle is given by the formula:

$$ P = 2L + 2W $$

where $L$ is the length and $W$ is the width. The area $A$ of a rectangle is given by:

$$ A = L imes W $$

Using these formulas, find the area of the garden.