
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 is designing a garden that must have an area of at least 150 sq. ft. The garden is to be rectangular, and John wants to use the least amount of fencing possible. The length of the garden should be 10 ft longer than the width. What should the width, in feet, be to minimize the fencing material used?

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