
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
Samantha is planning to build a rectangular garden and needs to enclose it with a fence. She has 400 feet of fencing material available. The regulations for the garden require that the length of the garden be at least 100 feet. She wants the area of the garden to be as large as possible to fit various plants and decorations. What dimensions should Samantha choose for her garden to maximize the enclosed area, and what is the optimal area?

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