
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
On the base AC of an isosceles triangle ABC, point E is taken, and on the sides AB and BC, points K and M are taken such that KE is parallel to BC and EM is parallel to AB. What fraction of the area of triangle ABC does the area of triangle KEM occupy if BM:ME = 2:3?

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