
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
Inside the square below, with a side measuring $5 \mathrm{~cm}$, a star was created by drawing four identical isosceles triangles each with a height of $1 \mathrm{~cm}$. Find an irreducible fraction that represents the ratio between the area of the star and the area of the square.

![](https://cdn.mathpix.com/cropped/2024_05_01_ffb48c2069f209c1311cg-13.jpg?height=460&width=430&top_left_y=1034&top_left_x=890)

Note: A triangle is isosceles if two of its sides are equal.

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