
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
$PQRS$ is a rectangle whose area is 20 square units. Points $T$ and $U$ are positioned on $PQ$ and $RS$ respectively, dividing side $PQ$ into a ratio of 1:4 and $RS$ into a ratio of 4:1. Determine the area of trapezoid $QTUS$.

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