
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
Let  $ATHEM$  be a convex pentagon with  $AT = 14$ ,  $TH = MA = 20$ ,  $HE = EM = 15$ , and  $\angle THE = \angle EMA = 90^{\circ}$ . Find the area of  $ATHEM$ .

*Proposed by Andrew Wu*

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