The coordinates of the vertices of a polygon are (-2, - 2), (-2, 3), (2, 4), (3, 1), and (0,-2). What is the perimeter of the polygon? Round each length to the nearest tenth of a unit.

Total perimeter of the pentagon can be calculated by adding the length of the sides.

Perimeter = d1+d2+d3+d4+d5

Distances between coordinate is computed using the distance formula.

d 1 = sqrt (-2+2) ^2 + (3+2) ^2

d1 = 5

d2 = sqrt (2+2) ^2 + (4-3) ^2

d2 = sqrt17=4.1

d3 = sqrt (3-2) ^2 + (1-4) ^2

d3=sqrt10=3.2

d4=sqrt (0-3) ^2 + (-2-1) ^2

d4=sqrt18=4.2

d5=sqrt (-2-0) ^2 + (-2+2) ^2

d5 = 2

Perimeter of the pentagon = 5+4.1+3.2+4.2+2

= 18.5

Given the coordinates of the vertices of a polygon (-2, - 2), (-2, 3), (2, 4), (3, 1), and (0,-2), the perimeter of the polygon is 18. It is the sum of the length of five sides.