The perimeter of the polygon with the following vertices would be; 32.56
What is the perimeter of the polygon?
We can get the perimeter by first calculating the distances between the vertices. To achieve this, we would use the distance formula to find the length of each side of the triangle as follows
AB = √((3 - (-6))² + (4 - (-6))²)
= √(81 + 100)
= √181
≈ 13.45 units
BC = √((4 - 3)² + (-5 - 4)²)
= √(1 + 81)
= √82
≈ 9.06 units
CA = √((4 - (-6))² + (-5 - (-6))²)
= √(100 + 1)
= √101
≈ 10.05 units
Now we add the side lengths to find the perimeter.
Perimeter = AB + BC + CA
Perimeter ≈ 13.45 units + 9.06 units + 10.05 units
Perimeter ≈ 32.56 units
Complete Question:
Solve the problem. Find the perimeter of the polygon with the following vertices. Round to the nearest hundredth. A(-6, -6), B (3, 4), C(4, -5)
31.56
32.56
22.51
35.96