Question

Geometry Basics Test

A polygon is said to be regular if all of its sides are the same length. Find the perimeter of the regular octagon
whose vertices are as follows.
(-2,-4), (1,0), (1,5), (-2,9), (-7,9), (-10,5), (-10,0), (-7,-4)
(1 point)
| units
Basic
7
8
9

Answer 1

P=40

Explanation:

find the distance between each vertices:

between the following points to find the length of each sides, octagon has 8 sides , since it is regular pentagon the distance between each vertices =5

the length of each side of octagon=5

to check :d=√(x2-x1)²+(y2-y1)²

(-2,-4) and (1,0) , d=√[(1-(-2)]²+(0+4)² =√3²+4², d=5

(1,0) and (1,5) , d= 5

(1,5) and (-2,9) , d=5

(-2,9) and (-7,9) , d=5

(-7,9) and (-10,5) , d=5

(-10,5) and(-10,0) , d=5

(-10,0) and(-7,-4), d= 5

(-7,-4) and (-2,-4), d=5

perimeter of octagon = 8a ( a is the length of the side)

p=8(5)

P=40