
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
Calculate the area of the pentagon with sides of lengths 18, 25, 30, 28, and 25 units, where the diagram is given below:
[asy]
pair A, B, C, D, E;
A = (0,0);
B = (28,0);
C = (28,30);
D = (6,37);
E = (0,25);
draw(A--B--C--D--E--cycle);
draw(B--E);
label("28", midpoint(A--B), S);
label("30", midpoint(B--C), E);
label("25", midpoint(C--D), NE);
label("18", midpoint(D--E), NW);
label("25", midpoint(E--A), W);
draw(rightanglemark(A, B, C, 2));
[/asy]

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