
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 has dimensions 8 meters by 12 meters. On each side of the rectangle, a semicircle is drawn with the endpoints of its diameter on the vertices of the rectangle. Calculate the percent increase in the area of the semicircles drawn along the longer side compared to those drawn along the shorter side.

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