1. Recall that the perimeter of a regular hexagon with side length s is given by P = 6s.
2. Given the perimeter P = 49.8 \, \text{ft}, set up the equation: 6s = 49.8.
3. Solve for s to find the length of one side:
s = \frac{49.8}{6} = 8.3
4. Therefore, the length of one side of the hexagon, rounded to the nearest hundredth, is
8.30 \, \text{ft}