Hexagon floor parquet

The floor in the game tower has the shape of a regular hexagon with a side length of 5 m. How many pieces of parquet must be ordered to cover it if 25 pieces are needed for 1 square meter, and we must add a reserve of 10%?

Final Answer:

n =  1787

Step-by-step explanation:

$$\begin{gathered} Q=251{\text{/m}}^2 \\ q=100\%+10\%=1+\frac{10}{100}=1.1 \\ a=5\text{m} \\ k=3\cdot \sqrt{3}/2\doteq 2.5981 \\ S=k\cdot a^2=2.5981\cdot 5^2\doteq 64.9519{\text{m}}^2 \\ {n}_0=S\cdot Q\cdot q=64.9519\cdot 25\cdot 1.1\doteq 1786.1774 \\ n=\lceil n_0\rceil =\lceil 1786.1774\rceil =1787 \end{gathered}$$

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