The length of segment 7 (RT) is 33 cm.
Given that PQ is parallel to RS, and PT is parallel to ST, we can use the properties of parallel lines to find the length of segment 7 (RT).
Since PT is twice the length of PS (16 cm compared to 8 cm), then ST is also twice the length of RS.
The length of RS is given as 11 cm, so ST would be 2 * 11 cm = 22 cm.
Segment 7 (RT) is the sum of RS and ST:
RT = RS + ST
RT = 11 cm + 22 cm
RT = 33 cm
Therefore, the length of segment 7 (RT) is 33 cm.