Final answer:
The perimeter of triangle PQR with vertices P(-2, 9), Q(7, -3), and R(-2, -3) is 36.
Step-by-step explanation:
To find the perimeter of triangle PQR with vertices P(-2, 9), Q(7, -3), and R(-2, -3), we need to find the lengths of each side and add them together.
Using the distance formula, we can find the distance between the coordinates:
PQ = sqrt((7 - (-2))^2 + (-3 - 9)^2) = sqrt(81 + 144) = sqrt(225) = 15
QR = sqrt((-2 - 7)^2 + (-3 - (-3))^2) = sqrt(81 + 0) = sqrt(81) = 9
RP = sqrt((-2 - (-2))^2 + (-3 - 9)^2) = sqrt(0 + 144) = sqrt(144) = 12
The perimeter of triangle PQR is therefore PQ + QR + RP = 15 + 9 + 12 = 36.