Tom is buying tile for a 12ft by 18ft rectangular kitchen floor. He needs to buy 15% extra in case some of the tiles break. The tiles are squares with 4 in. sides that come in cases of 100. How many cases should he buy?

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Answer 1 · 2018-04-25T15:38:41

#color(blue)(23 \ \ \ \"cases")#

Convert 12ft and 18ft to inches:

#12*12=144#

#18*12=216#

Area to be tiled:

#144*216=31104 \ \ \ "inches"^2#

Area of each tile:

#4*4=16 \ \ \"inches"^2#

Number of tiles needed:

#"area of foor"/("area of tile")=31104/16=1944#

If he needs 15% extra, then he needs:

#115% "of" \ \ \ 1944#

#115/100*1944=2235.6 \ \ \ \#tiles

If they come in cases of 100, then:

#2235.6/100=22.356#

Since you can't buy a fraction of a case, we round to 23.

He needs to buy 23 cases.