Perimeter and Area of a Rectangular Garden

A rectangular garden has a length that is twice its width. If the perimeter of the garden is 48 feet, what is the area of the garden in square feet?

Let the width of the garden be denoted by $w$ feet. Therefore, the length will be $2w$ feet. The formula for the perimeter $P$ of a rectangle is given by:

$$ P = 2( ext{length} + ext{width}) $$

Using this formula, we can express the perimeter of the garden as:

$$ 48 = 2(2w + w) $$