
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
Katka cut out 20 rectangles from paper. The first had dimensions $1 \mathrm{~cm} \times 2 \mathrm{~cm}$, the second $2 \mathrm{~cm} \times 3 \mathrm{~cm}$, the third $3 \mathrm{~cm} \times 4 \mathrm{~cm}$, and so on. She then started arranging them by connecting sides of the same length so that they do not overlap and no rectangle touches more than two other rectangles.

a) Draw the polygon that Katka formed from the first six of her rectangles.

b) Determine the perimeter of the polygon formed by all the rectangles Katka cut out.

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