
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
The shape in the diagram is made up of a rectangle, a square, and an equilateral triangle, all of which have the same perimeter. The length of the side of the square is \( 9 \mathrm{~cm} \). What is the length of the shorter sides of the rectangle?
A \( 4 \mathrm{~cm} \)
B \( 5 \mathrm{~cm} \)
C \( 6 \mathrm{~cm} \)
D \( 7 \mathrm{~cm} \)
E \( 8 \mathrm{~cm} \)

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