
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
In the diagram below, all of the smaller triangles are similar to isosceles triangle $PQR$, where $PQ = PR$. There are $10$ smallest triangles, each with area $2$, forming part of the larger triangle $PQR$ which has an area of $80$. Triangle $PST$ is inside $PQR$ and is situated such that $T$ is on $PR$ and $S$ is on $PQ$. The base line $ST$ is parallel to $PQ$. The area of triangle $PST$ consists of 3 times the area of one of the smallest triangles. Calculate the area of trapezoid $PQST$.
A) 68   
B) 70    
C) 72    
D) 74  
E) 76

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