
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 village plans to build a rectangular vegetable greenhouse with an indoor area of $800 m^{2}$. Inside the rectangular greenhouse, a $1 m$ wide passage is reserved along the left, right, and rear inner walls, and a $3 m$ wide space is reserved along the front inner wall. What should be the dimensions of the rectangular greenhouse to maximize the planting area? And what is the maximum area?

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