Finding the Width of a Rectangular Garden

Jessica is designing a new rectangular garden. The length of the garden is given by the equation l = 3w + 2, where l represents the length in feet and w represents the width in feet. Additionally, the area of the garden must be exactly 100 square feet.

Using these equations, find the width of the garden to the nearest hundredth of a foot.

Write your answer in the grid-in response, and do not include units.