
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 area of square \(ABCD\) is 64. The midpoints of its sides are joined to form the square \(EFGH\). The midpoints of its sides are \(J, K, L,\) and \(M\). Calculate the area of the shaded region.

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