Which equation can be used to find the perimeter of a regular octagon with sides of length 12?

1 Answer
Aug 3, 2016

#Perimeter = 8 xx 12 = 96#

Explanation:

In any regular shape, all the sides are the same length.
Perimeter = the sum of all the sides.

"Perimeter = Side + side +side + ......" for as many sides as the shape has.

For an equilateral triangle: #P = 3 xx "side" = 3s#

For a square: #P = 4 xx "side" = 4s#

For a regular octagon there are 8 equal sides, so

#P = 8 xx "side" = 8s#

A general formula for the perimeter of a regular figure would be:

#P = n xx "side" = nxxs#

#n#= number of sides. and #s#= the length of each side.

IN this case

#Perimeter = 8 xx 12 = 96#