Final answer:
To find the length of PQ, divide PR by 2 and add 16.
Step-by-step explanation:
To find the value of PQ, we need to use the fact that PS is the perpendicular bisector of QR. This means that QR is split into two equal parts at point P. Since PR = 2x + 32, and QR is split in half at P, the length of PQ is equal to (2x + 32)/2. So, PQ = x + 16.
To find the value of PQ, we need to know the value of x. Unfortunately, the question does not provide any information about x, so we cannot determine the exact length of PQ. We can only say that PQ is equal to x + 16.