
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 pentagon with sides of lengths 18, 25, 31, 29, and 25 units, given that it can be divided into a right triangle and a trapezoid as shown below:

[asy]
pair a,b,c,d,e;
a=(0,0);
b=(29,0);
c=(29,31);
d=(6.29,42);
e=(0,25);
draw((0,0)--(29,0)--(29,31)--(6.29,42)--(0,25)--cycle);
draw((29,31)--(0,25));
draw((5.5,40.2)--(7.2,39.5)--(7.7,41));
label("29",(14.5,0),S);
label("31",(29,15.5),E);
label("25",(18,37.5),NE);
label("18",(3.15,33.5),NW);
label("25",(0,12.5),W);
draw((1.5,0)--(1.5,1.5)--(0,1.5));
draw((27.5,0)--(27.5,1.5)--(29,1.5));
[/asy]

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