
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
On a sheet, three rectangles A, B, and C are drawn.

Rectangles A and B have the same width, and rectangles B and C have the same length (width - top to bottom, length - left to right). The length of rectangle B is 2 cm more than the length of rectangle A, and the area of B is 22 cm² more than the area of rectangle A. The width of rectangle C is 4 cm less than the width of rectangle B, and the area of C is 40 cm² less than the area of rectangle B. Find the area of rectangle A in square centimeters.

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