The area of a regular hexagon is 55 in^2. Find the length of a side. Round your answer to the nearest tenth. I know the answer is 4.6 in., but I have no idea how to solve it.

Polygon area = n*side length^2 / [4*tan (180/n) ]

side length^2 = polygon area * [4*tan (180/n) ] / n

where n is the number of sides

side length^2 = 55 sq inches * (4*tan (180/6)) / 6

side length^2 = 55 sq inches * 4 * tan (30) / 6

side length^2 = (55 sq inches * 4 * 0.57735) / 6

side length^2 = 127.017 / 6

side length^2 = 21.1695

side length = square root (21.1695)

side length = 4.6010324928