
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
The pressure $(P)$ on a boat sail varies directly with both the area $(A)$ of the sail and the square of the wind's velocity $(V)$. When the area is 2 square feet and the wind velocity is 20 miles per hour, the pressure on the sail is 5 pounds. Determine the wind velocity when the pressure on 4 square feet of sail is 20 pounds.
A) $10\sqrt{2}$ mph
B) $15\sqrt{2}$ mph
C) $20\sqrt{2}$ mph
D) $25\sqrt{2}$ mph

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