
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
Given that Carl has placed a total of 24 fence posts around the perimeter of his garden, he positioned one post on each of the four corners and spaced the remaining posts evenly along the edges, maintaining a distance of 4 yards between neighboring posts. Also, the longer side of the garden has twice as many posts as the shorter side, including the corners. Find the area, in square yards, of Carl's expanded garden.

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