Final answer:
The length of QR in the trapezoid QRTU is 50.
Step-by-step explanation:
In a trapezoid, the midsegment is the line segment connecting the midpoints of the non-parallel sides. In this case, bar (PS) is the midsegment of the trapezoid QRTU.
The length of TU is given as 22 and the length of PS is given as 36.
Since PS is the midsegment, it is parallel to QR and its length is equal to the average of the lengths of the two parallel sides, which are QR and TU.
So, the length of QR can be found by doubling the length of PS and subtracting the length of TU from it. Therefore, QR = 2(PS) - TU = 2(36) - 22 = 72 - 22 = 50.
Therefore, QR is equal to 50.