
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 rectangle and a triangle have equal perimeters. The lengths of the three sides of the triangle are \(7.5\) cm, \(9.3\) cm, and \(11.2\) cm. What is the area of the rectangle if its length is twice its width?

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