
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 ratio of the length of the rectangle to its height is 4:3, and the height of the rectangle is 45 inches. Calculate the ratio of the area of the rectangle to the combined area of the semicircles.

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