Final answer:
In rectangle RSTU, the length of QU is 35 units.
Step-by-step explanation:
In rectangle RSTU, let's first find the value of p. We are given that QS=2p-35 and QU=p. Since Q is a corner point of the rectangle, the length of QU is the same as the length of one of the sides of the rectangle. So, we can equate QS and QU and solve for p.
Setting QS=QU, we have:
2p-35=p
Simplifying the equation, we get:
p=35
Therefore, the length of QU is 35 units.