###### The problem

A mosaic uses 150 square tiles. The total area is 3000 $c{m}^{2}$.

a) Estimate the side length of a tile.

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A mosaic uses 150 square tiles. The total area is 3000 $c{m}^{2}$.

a) Estimate the side length of a tile.

$Solution:\phantom{\rule{0ex}{0ex}}Totalarea=Numberoftilesxareaofeachtile.$

$Areaofeachtile=\frac{Totalarea}{Numberoftiles}$

$Areaofeachtile=\frac{3000}{150}=20$

$Area(sidexside){s}^{2}=20\phantom{\rule{0ex}{0ex}}$

$s=\sqrt{20}=4.47cm$