
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
An oblong (a rectangle that is longer in length than in width) is segmented into nine different non-overlapping squares. The total area of the oblong is given as 4624 square units and the ratio of the longer side to the shorter side of the oblong is 4 to 3. Determine the perimeter of the oblong.
[asy]
draw((0,0)--(88,0)--(88,66)--(0,66)--(0,0));draw((36,0)--(36,36)--(0,36)); draw((52,36)--(88,36));draw((36,52)--(52,52)--(52,66));draw((72,36)--(72,52)--(88,52)); draw((58,52)--(72,52)--(72,58)--(58,58)--cycle); draw((52,36)--(52,42)--(58,42)--(58,36)); draw((72,58)--(88,58));
[/asy]

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