To determine the perimeter of the polygon, we must find the sum of its side lengths. This polygon has four vertices, so it's a quadrilateral. Let's draw it in a coordinate plane.
We can see that the given figure is a square. Therefore, all the sides have equal lengths.
QR = RS = ST = TQThe perimeter of a square can be expressed as shown below.
P=4s
In this formula s is the length of the side of the square. We can substitute the length of any of the four sides of the given square for s. Let's use QR.
P=4QR
This means that we only have to find the length of QR. We can use the Ruler Postulate to do this.
