
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 diagram shows a rectangular picture frame \(ABCD\) made of eight identical trapezoids. The shaded region is where the picture goes. The length, \(AB\), and width, \(AD\), of the frame are both positive integers. The area of each individual trapezoidal piece is a prime number. If the area of the shaded region is less than 2000 square units, what is the maximum possible area of the shaded region?

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