
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 rectangular horse pasture is enclosed on three sides by a fence, and the fourth side is part of the side of a barn that is \( 350 \) feet long. The fence costs \( \$5 \) per foot, and \( \$1,\!400 \) altogether. To the nearest foot, find the length of the side parallel to the barn that will maximize the area of the pasture.

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