What is the value of t?

Answer:
[tex]t=22[/tex]
Step-by-step explanation:
First, note that the entire thing is a square. This is because since two of the opposite angles are right angles, the remaining two must also be right angles.
In a square, all four sides are equivalent.
Therefore, the sides PS an RS are equal to each other. Thus:
[tex]PS=RS\\t+22=2t\\22=t\\t=22[/tex]