
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 square has an area of 400 square units, and inside it, a smaller square is inscribed such that its vertices touch the midpoints of the sides of the larger square. The smaller square divides the larger square into four congruent trapezoids. What is the area of one of these trapezoids?
**A)** $25$
**B)** $40$
**C)** $50$
**D)** $100$
**E)** $200$

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