Consider a rectangular garden that has a length which is 5 meters longer than its width. The area of the garden is 60 square meters. Let the width of the garden be represented by the variable $w$. Therefore, the length can be expressed as $l = w + 5$. Using the formula for the area of a rectangle, the area $A$ can be expressed as:
$$A = l \times w$$
Substituting the expressions for area and length into the equation, set up the following equation:
$$60 = (w + 5) \times w$$
Determine the width of the garden. Your answer should be submitted in the grid-in format.