
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
Jane wants to build a fence around a rectangular garden, with the garden covering at least 120 sq. ft. of area. The length of the garden should be 10 ft more than its width. What is the minimum width Jane should consider to meet these conditions?

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