
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
Sohom constructs a square  $BERK$  of side length  $10$ . Darlnim adds points  $T$ ,  $O$ ,  $W$ , and  $N$ , which are the midpoints of  $\overline{BE}$ ,  $\overline{ER}$ ,  $\overline{RK}$ , and  $\overline{KB}$ , respectively. Lastly, Sylvia constructs square  $CALI$  whose edges contain the vertices of  $BERK$ , such that  $\overline{CA}$  is parallel to  $\overline{BO}$ . Compute  the area of  $CALI$ .
![Image](https://cdn.artofproblemsolving.com/attachments/0/9/0fda0c273bb73b85f3b1bc73661126630152b3.png)

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