
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
Matthew is designing a fence around a rectangular vegetable garden. He has exactly 320 feet of fencing available. The fence must encircle all four sides of the garden. Moreover, the rules indicate that the length of the garden must be no less than 100 feet. Matthew desires to maximize the area enclosed by the fence for planting various vegetables. What dimensions should the garden have to maximize this area?

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