A regular hexagon has six sides of equal length. If each side of the hexagon is 6k^2 + 8 inches long, then the perimeter of the hexagon is:
Perimeter = 6 × (6k^2 + 8)
Simplifying this expression gives:
Perimeter = 36k^2 + 48 inches
Therefore, the perimeter of the hexagon is 36k^2 + 48 inches.