A rectangular floor measures 3m by 2m is covered by 384 square tiles. Determine the side length of each tile in centimeters.

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The rectangular floor measures 3m by 2m. The area of the floor is 6 m^2. It is covered by 384 square tiles. If the side length of each tile is x cm., the area of one tile is x^2*10^-4 m^2

This gives 384*x^2*10^-4 = 6

=> x^2 = 6*10^4/384

=>...

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The rectangular floor measures 3m by 2m. The area of the floor is 6 m^2. It is covered by 384 square tiles. If the side length of each tile is x cm., the area of one tile is x^2*10^-4 m^2

This gives 384*x^2*10^-4 = 6

=> x^2 = 6*10^4/384

=> x^2 = 60000/384

=> x^2 = 156.25

=> x = 12.5

The length of the side of the tiles is 12.5 cm.

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