
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 quadrilateral PQRS is bounded by Oak Road to the north and Pine Road to the east, with Oak Road running east-west and Pine Road running north-south. Given PQ = 4 miles along Oak Road, QS = 5 miles along Pine Road, and diagonal PR = 7 miles splitting the quadrilateral into triangles PQR and PRS, calculate the area, in square miles, of the property if ∠QPR = 60 degrees.

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