
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
A square is divided into two congruent smaller squares and one rectangle. The perimeter of the original square is 200 units. Each side of the smaller squares is half the side of the original square, and the rectangle's width is the same as a smaller square's side, but its length is equal to the original square's side. What is the perimeter of the rectangle?

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