
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 whose area is at least 400 square feet and the length of the rectangle is exactly twice its width. What should the dimensions of the rectangle be if he wants to use the least amount of fencing?

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