
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
All of the triangles in the new diagram are similar to isosceles triangle $PQR$, where $PQ = PR$. Compute the area of trapezoid $FQGR$ if each of the $9$ smallest triangles in the diagram has area $1$, and $\triangle PQR$ has an area of $45$.
A) 35
B) 40
C) 45
D) 50

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