Dimensions of a Rectangular Garden

A rectangular garden is to be constructed with a total area of 120 square feet. The length of the garden is to be 4 feet longer than twice its width. Let the width be represented by $w$ and the length by $l$. Formulate an equation that models the area of the garden and solve for the dimensions of the garden.

Once you determine the width, provide your answer in the grid-in format as both a fraction and a decimal, rounded to two decimal places.