
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 rectangular room has a perimeter of 48 feet and an area of 140 square feet. Determine the length, in feet, of the shorter side of the room, assuming the dimensions are integers.

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