
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 park is shaped like a rhombus with diagonals measuring 24 feet and 16 feet. Inside the park, there is a square play area such that one side of the square is equal to the smaller diagonal of the rhombus. Calculate the perimeter of the rhombus and the area of the square.

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