Answer:
33.1 units
Step-by-step explanation:
The formula to find the sides of an shape when given vertices is
= √(x2 - x1)² + (y2 - y1)²
When we have:(x1, y1) and (x2, y2)
(-3, 1), (5, 1), (-3, 4), (5, 4)
For (-3, 1), (5, 1)
= √(5 - (-3))² + (1 -1)²
= √8² + 0²
= √64
= 8 units
For (5, 1), (-3, 4)
= √(-3 - 5)² + (4 - 1)²
= √-8² + 3²
= √64 + 9
= √73 units
For (-3, 4), (5, 4)
= √(5 - (-3))² + (4 - 4)²
= √8² + 0²
= √64
= 8 units
For (-3, 1), (5, 4)
= √(-3 - 5)² + (4- 1)²
= √8² + 3²
= √64 + 9
= √ 73 units
Perimeter of the Polygon:
=( 8 + √73 + 8 + √73) units
= 33.088007491 units
≈ 33.1 units