
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
Consider a large square where each side is quartersected (divided into four equal parts). A rhombus is inscribed such that its vertices are located at specific quarter points (1st and 4th quarter points on the top and bottom, and 2nd and 3rd quarter points on the sides). Calculate the ratio of the area of this inscribed rhombus to the area of the larger square.
A) $\frac{1}{8}$
B) $\frac{1}{4}$
C) $\frac{1}{3}$
D) $\frac{1}{2}$

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