Question

Based on the graph, what is the perimeter of an octagon?​

Answer 1

The perimeter of the regular octagon is 104 units

Explanation:

we know that

The segment LM is the length of one side of the octagon

we have the coordinates

L(-6,-2) and M(6,3)

step 1

Find the distance LM

the formula to calculate the distance between two points is equal to

`d=\sqrt{(y2-y1)^(2)+(x2-x1)^(2)}`

substitute the values

`d_L_M=\sqrt{(3+2)^(2)+(6+6)^(2)}`

`d_L_M=\sqrt{(5)^(2)+(12)^(2)}`

`d_L_M=√(169)`

`d_L_M=13\ units`

step 2

Find the perimeter

we know that

A regular octagon has eight equal sides

so

To find out the perimeter, multiply by 8 the length of the segment LM

`P=8(13)=104\ units`