
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 garden 60 feet long and 20 feet wide is enclosed by a fence. This fence costs $15 per foot. To maximize the use of the land, while using the same fence, its shape is changed to a square. Each foot of fence in the new configuration costs $20 due to increased tension and maintenance. How much more does it cost to enclose the garden after reshaping it, and by how many square feet does this enlarge the garden?

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