
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
Luke wants to fence a rectangular piece of land of exactly 600 square feet to create a rectangular garden. He wants the length of the garden to be twice its width. What dimensions should the garden have to use the exact amount of space and the least fencing?

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