
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
One side of a rectangle (the width) was increased by 10%, and the other side (the length) by 20%. a) By what percentage is the area of the new rectangle greater than the area of the original rectangle? b) Find the ratio of the sides of the original rectangle if it is known that the perimeter of the new rectangle is 18% greater than the perimeter of the original rectangle.

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