
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
Elena has bought 150 feet of fencing to enclose her rectangular yard. Given that the lengths of the yard's sides are in whole numbers, what is the maximum area she can enclose with this fencing?

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