
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
Let's modify the original problem by increasing the minimum area requirement to 150 sq. ft and making the length 20 ft longer than the width. Determine the minimum width needed for a rectangular area to meet these new constraints.

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