
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
Rectangle $R_1$ has sides of $3$ inches and $9$ inches. A triangle $T$ with base $3$ inches and height $4.5$ inches is attached externally along the longer side of $R_1$. Rectangle $R_2$ with a diagonal of $18$ inches is similar to $R_1$. Find the area of $R_2$, in square inches, when a similar triangle is attached to its corresponding side.
A) 90.4
B) 97.2
C) 105.3
D) 110.5

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