Using the coordinates of the vertices of a polygon (-3, 1), (-3, 3), (-1, 5), (2, 4), and (2, 1) the perimeter of the polygon is 16.0 units
The perimeter is calculated by summing the sides
The length of line in an ordered pair is calculated using the formula
d = √{(x₂ - x₁)² + (y₂ - y₁)²}
where
d = distance between the points
x₂ and x₁ = points in x coordinates
y₂ and y₁ = points in y coordinates
(-3, 1) and (-3, 3) =√{(-3 - -3)² + (3 - 1)²} = 2
(-3, 3) and (-1, 5) = √{(-1 - -3)² + (5 - 3)²} = 2√2
(-1, 5) and (2, 4) = √{(2 - -1)² + (4 - 5)²} = √10
(2, 4) and (2, 1) = √{(2 - 2)² + (1 - 4)²} = 3
(2, 1) and (-3, 1) = √{(-3 - 2)² + (1 - 1)²} = 5
The perimeter = 2 + 2√2 + √10 + 3 + 5
The perimeter = 15.9907
The perimeter = 16.0 units
Learn more about length of line segment here:
https://brainly.com/question/24778489
#SPJ1
