
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
Given three pairwise intersecting perpendicular lines. The distance between any two of them is equal to \(a\). Find the area of the parallelogram whose two vertices are located on one line, and the other two vertices are located on the other two lines.

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