Final answer:
To find the perimeter of the polygon, we can use the distance formula to calculate the length of each side and then add up all the side lengths. The perimeter of the polygon with vertices Q(-3,2), R(1,2), S(1,-2), T(-3,-2) is 12 units.
Step-by-step explanation:
To find the perimeter of the polygon, we need to add up the lengths of all the sides. We can use the distance formula to calculate the length of each side. Let's calculate the length of QR first:
DQR = sqrt((1-(-3))^2 + (2-2)^2) = sqrt(16) = 4 units
Next, let's calculate the length of RS:
DRS = sqrt((1-1)^2 + (-2-2)^2) = sqrt(16) = 4 units
Now, let's calculate the length of ST:
DST = sqrt((-3-1)^2 + (-2-2)^2) = sqrt(16) = 4 units
Finally, let's calculate the length of TQ:
DTQ = sqrt((-3-(-3))^2 + (-2-2)^2) = sqrt(0) = 0 units
Adding up the lengths of all the sides, we get:
Perimeter = QR + RS + ST + TQ = 4 + 4 + 4 + 0 = 12 units