
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
The square F G H I has area 80. Points J, K, L, M are marked on the sides of the square so that F K = G L = H M = I J and F K = 3 K G. What is the area of the shaded region?
A) 40
B) 35
C) 30
D) 25
E) 20

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