
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
Given a rectangle \( R_1 \) with one side of \( 3 \) inches and an area of \( 24 \) square inches. Rectangle \( R_2 \) has a diagonal that is twice as long as the diagonal of \( R_1 \) and is similar to \( R_1 \). Calculate the area of \( R_2 \).
**A)** \( 75 \) square inches
**B)** \( 84 \) square inches
**C)** \( 96 \) square inches
**D)** \( 100 \) square inches
**E)** \( 120 \) square inches

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