Tiles

The room has dimensions 12 m and 5.6 m. Determine the number of square tiles and their largest possible size to cover them room's floor.

Correct answer:

n =  105
a =  80 cm

Step-by-step explanation:

$$\begin{gathered} a=1200=2^4\cdot 3\cdot 5^2 \\ 560=2^4\cdot 5\cdot 7 \\ \text{GCD}(1200,560)=2^4\cdot 5=80 \\ a=80cm \\ n=S\mathrm{/}{a}^2={\displaystyle \frac{1200\cdot 560}{80^2}}=105 \end{gathered}$$

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