
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
Pedrinho has several wooden pieces in the shape of a right triangle with legs $1 \mathrm{~cm}$ and $2 \mathrm{~cm}$. With 4 of these pieces, he can make a square with side length $2 \mathrm{~cm}$. Playing with more pieces, he managed to make a square using exactly 20 pieces. Construct a square using 20 pieces. (Hint: Calculate the area of the triangles, and with that calculate the side of the square. Then compare with the hypotenuse of the pieces.)

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