
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 shaded region consists of 25 congruent squares arranged in a regular square formation. If the diagonal of the large square formed by the shaded region is 10 cm, what is the area of the entire shaded region?

[asy]
for(int i = 0; i < 5; ++i)
{
    for(int j = 0; j < 5; ++j)
    {
        filldraw((i,j)--(i+1,j)--(i+1,j+1)--(i,j+1)--cycle, gray, linewidth(2));
    }
}
draw((0,0)--(5,0)--(5,5)--(0,5)--cycle,linewidth(2));
draw((0,0)--(5,5),dashed);
draw((5,0)--(0,5),dashed);
[/asy]

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