The Perimeter of the polygon is; 59.4655 units
We are given the coordinates of the vertices of the polygon as;
A(-5,-3) B(-6,3) C(0,5) and D(1,-6)
Using formula for distance between two coordinates gives;
AB = √((3 + 3)² + (-6 + 5)²)
AB = √37
BC = √((5 - 2)² + (0 + 6)²)
BC = √45
CD = √((-6 - 5)² + (1 - 0)²)
CD = √122
DA = √((-3 + 6)² + (1 + 6)²)
DA = √58
Thus;
Perimeter of Polygon = √37 + √45 + √122 + √58
Perimeter = 59.4655 units
Read more about Perimeter of a Polygon at; https://brainly.com/question/14490532
#SPJ1
