
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
The area of polygon $PQRSTU$ is 78 with $PQ=10$, $QR=11$ and $TU=7$. What is $RS+ST$? [asy]
pair p=(0,11), q=(10,11), r=(10,0), s=(5,1), t=(5,5), u=(0,5);
draw(p--q--r--s--t--u--cycle);
draw(shift(0,-.25)*p--shift(.25,-.25)*p--shift(.25,0)*p);
draw(shift(-.25,0)*q--shift(-.25,-.25)*q--shift(0,-.25)*q);
draw(shift(-.25,0)*r--shift(-.25,.25)*r--shift(0,.25)*r);
draw(shift(.25,0)*s--shift(.25,.25)*s--shift(0,.25)*s);
draw(shift(.25,0)*t--shift(.25,.25)*t--shift(0,.25)*t);
draw(shift(.25,0)*u--shift(.25,.25)*u--shift(0,.25)*u);
label("$P$", p, NW);
label("$Q$", q, NE);
label("$R$", r, SE);
label("$S$", s, SW);
label("$T$", t, SW);
label("$U$", u, SW);
label("7", (0,8), W);
label("10", (5,11), N);
label("11", (10, 5.5), E);
[/asy]

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