
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
There are four rectangles, each 7 cm long and 5 cm wide. These rectangles can be arranged to form a larger rectangle (without overlapping). How many different ways can this be done (illustrate with sketches and list all solutions)? What is the maximum and minimum possible perimeter of the larger rectangle in centimeters?

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