What is the perimeter, in grid units, of a regular octagon that has one side with endpoints (-1,2) and (3,-1)?

The  perimeter of the regular octagon which has one side with endpoints (-1,2) and (3,-1) is 40 units.How to find the perimeter of plane?The measure of the boundary of a plane or shape is called its perimeter. The perimeter of a plane or shape is the sum of all the sides.The perimeter of a regular octagon can be calculated with the following formula. [tex]P=8a[/tex]Here (a) is the side of the octagon. A regular octagon has one side with endpoints (-1,2) and (3,-1). Thus, the length of the one side using the distance formula is,[tex]a=\sqrt{[3-(-1)]^2+[-1-2]^2}\\a=\sqrt{[4]^2+[-3]^2}\\a=\sqrt{16+9}\\a=\sqrt{25}\\a=5[/tex]Put this value in the above formula to find the perimeter.[tex]P=8\times5\\P=40\rm\; units[/tex]Hence, the  perimeter of the regular octagon which has one side with endpoints (-1,2) and (3,-1) is 40 units.Learn more about the perimeter of plane here;