Josh's teacher draws a regular octagon on a coordinate plane. One side has endpoints at (2, 4) and (5, 4). Josh says he can't find the perimeter of the octagon because he can only find lengths of horizontal and vertical segments. He says he can't find the lengths of the slanted sides of the octagon. What mistake is Josh making? What is the perimeter of the octagon? Drag and drop the correct words and numbers into the boxes to complete the explanation. The octagon a regular octagon, so all the sides have the same length as the side whose endpoints are given.

Since that side length = vertze 5 vertze − vertze 2 vertze = units, the perimeter of the octagon is 8 × = units.