
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
Two rectangles with horizontal and vertical sides are given. The horizontal side of the second rectangle is $11 \%$ longer than the horizontal side of the first, and the vertical side of the second rectangle is $10 \%$ shorter than the vertical side of the first. 
a) Which of the rectangles has a larger area and by what percentage?
b) Find the ratio of the sides of the first rectangle, given that its perimeter is $5 \%$ less than the perimeter of the second.

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