
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 $(P)$ of wind on a sail varies jointly as the area $(A)$ of the sail and the square of the velocity $(V)$ of the wind. Initially, the pressure is 4 pounds on 2 square feet when the velocity is 20 miles per hour. Find the velocity of the wind when the pressure on 4 square feet of the sail is 16 pounds.
A) $28$ mph
B) $20\sqrt{2}$ mph
C) $40$ mph
D) $10\sqrt{2}$ mph

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