Final answer:
The perimeter of the pentagon is 35 units.
Step-by-step explanation:
To find the perimeter of a pentagon, we need to calculate the distance between its vertices and sum them up. Using the distance formula, we can find the distance between each pair of adjacent vertices.
For example, the distance between (-5, 3) and (-5, -3) is 6 units, and the distance between (-5, 3) and (4, -3) is 9 units. Continuing this process, we find that the distances between the vertices are 6, 9, 7, 7, and 6 units.
Adding these distances together, the perimeter of the pentagon is 35 units.