
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 25 feet long and 15 feet wide. An extension of 10 feet is added to the length of the room. Find the ratio of the total length of the room (including the extension) to the perimeter of the new dimensions. Express your answer in the form $a:b$.

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