
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 a new pentagon with sides of lengths 18, 25, 30, 28, and 25 units, arranged as follows:

[asy]
pair a,b,c,d,e;
a=(0,0);
b=(28,0);
c=(28,30);
d=(7,39);
e=(0,25);
draw((0,0)--(28,0)--(28,30)--(7,39)--(0,25)--cycle);
draw((7,37.5)--(8.3,37)--(8.8,38.3));
label("28",(14,0),S);
label("30",(28,15),E);
label("25",(17.5,34.5),NE);
label("18",(3.5,32),NW);
label("25",(0,12.5),W);
draw((1.5,0)--(1.5,1.5)--(0,1.5));
draw((26.5,0)--(26.5,1.5)--(28,1.5));
[/asy]

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