
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
Each student in Mr. Gray's class is tasked to draw a rectangle with integer side lengths and a perimeter of 60 units. Students then calculate the area of the rectangles they have sketched. What is the difference between the largest and smallest possible areas of these rectangles?
A) 178
B) 180
C) 192
D) 196
E) 210

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