Final answer:
To find the perimeter of the triangle, use the distance formula to calculate the lengths of each side and then add them together.
Step-by-step explanation:
To find the perimeter of the triangle with vertices X(-3, -6), Y(21, -6), and Z(21, 4), we need to find the lengths of each side of the triangle. We can use the distance formula to calculate the distance between each pair of vertices. The distance formula is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Using this formula, we can calculate the lengths of XY, YZ, and ZX. Then, we add these lengths to find the perimeter of the triangle.