Question

The endpoints of one side of a regular octagon are (-2,-4) and (4.-6). What 6

is the perimeter of the octagon? *​

Answer 1

To find the perimeter of the regular octagon, we use the distance formula to calculate the length of one side given the endpoints and then multiply that length by eight, as there are eight equal sides in a regular octagon.

Step-by-step explanation:

The question revolves around finding the perimeter of a regular octagon given the coordinates of one of its sides. First, we must determine the length of the side using the distance formula between the two given endpoints (-2,-4) and (4,-6). The distance formula is √((x2 - x1)^2 + (y2 - y1)^2), where (x1, y1) and (x2, y2) are the coordinates of the endpoints. After calculating the length of one side, we multiply this by 8 (since an octagon has eight equal sides) to get the perimeter.

The calculation is as follows:

1. Calculate the length of one side: √((4 - (-2))^2 + (-6 - (-4))^2) = √((6)^2 + (-2)^2) = √(36 + 4) = √40
2. Multiply this length by 8 to find the perimeter: 8 * √40 = 8 * 2√10 = 16√10

The perimeter of the octagon is 16√10 units.

Answer 2

p = 50.596

Step-by-step explanation:

You just multiply the distance between the two points by 8.

p =
`8\sqrt{(4-(-2))^(2)+(-6-(-4))^2 }`

p = 50.596

That big square root is the distance formula for two points in case you don't know.

Hope this helps!