Let's recall that for finding the length of each side of the polygon, we can use the following formula:
[tex]\text{ Distance or length of each side = }\sqrt{(x_{2\text{ }}}-x_1)^2+(y_{2\text{ }}-y_{1\text{ }})^2[/tex][tex]\text{ Now, we can calculate the length of each side, as follows:}[/tex]The polygon given is REGULAR, so it will be easier to calculate the perimeter.
Side QR = 1 - (-3) = 1 + 3 = 4 (We use only the x values, because y is constant)
Side RS = 2 - -(2) = 2 + 2 = 4 (We use only the y values, because x is constant)
Side ST = 1 - (-3) = 1 + 3 = 4 (We use only the x values, because y is constant)
Side QT = 2 - (-2) = 2 + 2 = 4 (We use only the y values, because x is constant)
[tex]\text{ Perimeter = 4 + 4 + 4 + 4 = 16 units}[/tex]