# Tiles

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

Result

n =  864

#### Solution:

$20 = 2 \cdot 10 \ \\ 30 = 3 \cdot 10 \ \\ S = ab = 2 x 3 x \cdot 100 = 6x^2 \cdot 100 \ \\ \ \\ 6x^2 = 881 \ \\ x^2 = 146.83 \ \\ x \doteq 12.12 \doteq 12 \ \\ \ \\ n = 6x^2 = 6\cdot 12^2 = 864$

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