
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
Triangle $PQR$ has sides of length 7, 24, and 25 units, and triangle $STU$ has sides of length 9, 40, and 41 units. What is the ratio of the area of triangle $PQR$ to the area of triangle $STU$? Express your answer as a common fraction.

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