Finding Area of a Rectangular Garden

A rectangular garden has a length that is 4 feet longer than 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 represented as $w$ feet. Then the length can be expressed as $w + 4$ feet. The formula for the perimeter $P$ of a rectangle is given by:

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

Substituting for length and perimeter, we have:

$$ 48 = 2[(w + 4) + w] $$