
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 difference in the areas of two similar triangles is 72 square feet. The ratio of the area of the larger triangle to the smaller triangle is a square of an integer, and the area of the smaller triangle is an integer. If one of the sides of the smaller triangle is 6 feet, find the corresponding side of the larger triangle.
A) 24
B) 18
C) 12
D) 9
E) 6

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