To find the perimeter of any polygon, we simply add up the lengths of all its sides. Since we are dealing with a regular octagon, each of its eight sides is of equal length.
Let's denote the length of each side as [tex]\( s \)[/tex], which is given as 3 meters, and the number of sides, [tex]\( n \)[/tex], of the octagon is 8.
The formula for the perimeter [tex]\( P \)[/tex] of a polygon is:
[tex]\[ P = n \times s \][/tex]
For our octagon with 8 equal sides, each being 3 meters long, we can calculate its perimeter by plugging these values into our formula:
[tex]\[ P = 8 \times 3 \][/tex]
Multiplying these together gives us:
[tex]\[ P = 24 \][/tex]
Therefore, the perimeter of the regular octagon is 24 meters.