
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 park includes a large grassy rectangular area measuring 40 meters by 20 meters, inside of which are placed three flower beds in the shape of identical equilateral triangles. The remainder of the grassy area forms a shape, with one side briefly interrupted by the three congruent triangular beds. The bases of the three triangular flower beds combined are equivalent to 10 meters. Determine the fraction of the grassy area covered by the flower beds.
A) $\frac{\sqrt{3}}{20}$
B) $\frac{25\sqrt{3}}{480}$
C) $\frac{50\sqrt{3}}{480}$
D) $\frac{75\sqrt{3}}{360}$
E) $\frac{10\sqrt{3}}{480}$

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