
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. How many square units are contained in the area of trapezoid $TURS$?

[asy]
size(4cm,4cm);
for(int i=0; i < 4; ++i){
for(int k=0; k < 5; ++k){
draw((0,i)--(5,i));
draw((k,0)--(k,4));
} }
draw((0,0)--(2,4));
draw((3,4)--(5,0));
label("$P$",(0,0),SW);
label("$Q$",(5,0),SE);
label("$R$",(5,4),NE);
label("$S$",(0,4),NW);
label("$T$",(2,4),N);
label("$U$",(3,4),N);
[/asy]

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