
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
In the rectangle $ABCD$, $AD - AB = 9$ cm. The area of trapezoid $ABCE$ is 5 times the area of triangle $ADE$. The perimeter of triangle $ADE$ is 68 cm less than the perimeter of trapezoid $ABCE$. Find the area of the rectangle $ABCD$ in square centimeters.

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