
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
How many square units are in the area of the pentagon shown here with sides of length 18, 25, 30, 28, and 25 units?

[asy]
pair a,b,c,d,e;
a=(0,0);
b=(28,0);
c=(28,30);
d=(6.3,39);
e=(0,25);
draw((0,0)--(28,0)--(28,30)--(6.3,39)--(0,25)--cycle);
draw((5.8,37.7)--(7.1,37.2)--(7.6,38.5));
label("28",(14,0),S);
label("30",(28,15),E);
label("25",(17,34.5),NE);
label("18",(3.1,32),NW);
label("25",(0,12.5),W);
draw((2,0)--(2,2)--(0,2));
draw((26,0)--(26,2)--(28,2));
[/asy]

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