
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
A 20-inch by 20-inch square is partitioned into four congruent L-shaped regions and one smaller square at the center. If each L-shaped region occupies 1/5 of the total area of the large square, how many inches long is the side of the center square?
A) $2\sqrt{5}$ inches
B) $4\sqrt{5}$ inches
C) $8\sqrt{5}$ inches
D) $10\sqrt{5}$ inches

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