One sixth of its perimeter.
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It is not possible to answer a question given only the length of one side of a hexagon unless we are told it is a regular hexagon. I added a link that lets you calculate areas of regular polygons.
The perimeter of a regular hexagon is (6 x the length of one side).
Length of one side = 114/6 inches = 19 inches
A regular hexagon is a shape with 6 equal side so to find the length of one side you would take the perimeter, which is 24, and divide it by 6. 24/6 = 4. The length of 1 side is 4cm.
The length of on side of an equilateral hexagon is half the diameter of the circumscribing circle.