
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 pentagon is formed by cutting a triangular corner from a rectangular piece of cardboard. The five sides of the pentagon have lengths $9,$ $16,$ $30,$ $40,$ and $41,$ in some order. Additionally, two sides of the pentagon are parallel. Determine the area of the pentagon, assuming right angles at the vertices where the triangle was removed.

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