
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 sum of the length and width of a rectangle is such that twice this sum equals three times the area of the rectangle. Find the dimensions of the rectangle if the length is twice the width.

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