
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, what is the perimeter of polygon $ABCDE$?

[asy]
import olympiad;
size(6cm); 

pair A = (0, 8);
pair B = (4, 8);
pair C = (4, 4);
pair D = (9, 0);
pair E = (0, 0);

draw(A--B--C--D--E--cycle);
label("$A$", A, NW);
label("$B$", B, NE);
label("$C$", C, NE);
label("$D$", D, SE);
label("$E$", E, SW);

label("$4$", A + (B - A) / 2, 2 * N);
label("$8$", E / 2, W);
label("$9$", D / 2, S);

draw(rightanglemark(A, E, D));
draw(rightanglemark(E, A, B));
draw(rightanglemark(A, B, C));
[/asy]

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