
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
On a map, a rhombus-shaped park is represented where the scale is given as 1 inch equals 100 miles. The long diagonal of the park on the map measures 10 inches, and the angle between the diagonals of the rhombus is 60 degrees. Calculate the actual area of the park in square miles.
A) $100000\sqrt{3}$ square miles
B) $200000\sqrt{3}$ square miles
C) $300000\sqrt{3}$ square miles
D) $400000\sqrt{3}$ square miles

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