
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
A room is 20.5 feet long and 12.3 feet wide. Find the ratio of the length of the room to its perimeter in feet, then convert the perimeter from feet to yards, and find the new ratio of the length in feet to the perimeter in yards.

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