
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 24 square units. Calculate the area of trapezoid $TURS$ given the following diagram:

[asy]
size(6cm,4cm);

for(int i=0; i < 4; ++i){
for(int k=0; k < 7; ++k){
draw((0,i)--(6,i));
draw((k,0)--(k,3));
} }

draw((0,0)--(2,3));
draw((4,3)--(6,0));

label("$P$",(0,0),SW);
label("$Q$",(6,0),SE);
label("$R$",(6,3),NE);
label("$S$",(0,3),NW);
label("$T$",(2,3),N);
label("$U$",(4,3),N);
[/asy]

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