
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Triangles $PQR$ and $STU$ are similar. The lengths of $\overline{PQ}$ and $\overline{PR}$ are 7 cm and 9 cm, respectively, while $\overline{ST}$ is 4.2 cm. Additionally, the area of triangle $PQR$ is 18 cm². Calculate the length of $\overline{SU}$. Express your answer in cm to the nearest tenth.

Present the answer in LaTex format: \boxed{Your answer}
user