The area of the octagon below is 10,391.9 square millimeters. what is the approximate perimeter of the octagon? round to the nearest whole number. mm what is the approximate length of one side of the octagon? round to the nearest whole number. mm

The perimeter of an octagon can be calculated by multiplying the length of a side with the number of sides (8), which is:

Perimeter = n * s

where s is the length of a side, and n is the number of sides

However we are not given the measure of s, but we know the area of the octagon. To solve for s given the area, we can use the formula:

Area = (s^2 n) / [4 tan (180 / n) ]

where,

Area = 10,391.9 square mm

n = 8,

Substituting the known values and calculating for s:

10,391.9 = (8 s^2) / [4 tan (180 / 8) ]

s^2 = 10,391.9 [4 tan (22.5) ] / 8

s^2 = 2,152.232959

s = 46.40 mm

Therefore the perimeter is:

Perimeter = 8 * 46.40 mm

Perimeter = 371.2 mm