
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 one had dimensions $1 \mathrm{~cm} \times 2 \mathrm{~cm}$, the second one $2 \mathrm{~cm} \times 3 \mathrm{~cm}$, the third one $3 \mathrm{~cm} \times 4 \mathrm{~cm}$, and so on. She then started arranging them with sides of the same length touching each other, ensuring they do not overlap and that no rectangle touches more than two other rectangles.

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

b) Determine the perimeter of Katka's polygon made from all the cut-out rectangles.

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