
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
John wishes to fence a rectangular garden such that it has at least 150 sq. ft. of area using the least amount of fencing material. The length of the garden should be 20 ft longer than its width. What should the width, in ft, be to minimize the amount of fencing?

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