Answer:
12+4√3+4√2
Step-by-step explanation:
Triangle TPR is a 30-60-90 triangle. That means that, if TP is 8 (I'm not sure I'm reading your picture right - it's very difficult), PR is 4, and TR is 4√3.
Since triangle QRP is a 45-45-90 triangle, RQ is the same as PR. They are both 4, and PQ is 4√2.
The perimeter of PQT is 8+4+4√3+4√2=
12+4√3+4√2
