Tiles

From how many tiles 20 cm by 30 cm we can build a square of maximum dimensions, if we have maximum 881 tiles.

Correct answer:

n =  864

Step-by-step explanation:

$$\begin{gathered} 20=2\cdot 10 \\ 30=3\cdot 10 \\ S=ab=2x3x\cdot 100=6x^2\cdot 100 \\ 6x^2=881 \\ {x}^2=146.83 \\ x\doteq 12.12\doteq 12 \\ n=6x^2=6\cdot 12^2=864 \end{gathered}$$

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