Question

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

Answer 1

Answer:

The perimeter of the regular octagon is 104 units

Step-by-step 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

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

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

$d_L_M=\sqrt{169}$

$d_L_M=13\ units$

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

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