
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 a square and a rectangle. The longer side of the rectangle is 11% greater than the side of the square, and the shorter side is 10% less than the side of the square. 

a) Is the area of the rectangle greater or lesser compared to the area of the square, and by how many percent?  
b) Answer the same questions regarding the perimeters of the rectangle and the square.

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