A rectangular room measures 12ft by 15ft. the entire room is to be covered with rectangular tiles that measures 5in by 4in. if hte tiles are sold for $2.50 a dozen what will it cost to tile the room?

Question

1055 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-03T00:50:18

That's a lot of tiles (1296)! The total comes to $270 when buying by the dozen.

The first step is to get both the room and the tile's units equal:

#12ft xx 15ft = 144" in" xx 180" in"#

Now that both are in inches, we should figure out the area of both:

Room Area: #144xx180=25920 " in"^2#

Tile Area: #5xx4=20" in"^2#

Now, we need to know how many tiles fit in the room. we will do this by dividing the room's area by the tile's area:

#1" tile" = 20" in"^2#
#x" tiles"=25920" in"^2#

#rArr x xx20=25920#

#x=25920/20#

#x=1296" tiles"#

Now that we know how many tiles we need, we multiply it by the cost per dozen:

#1296cancel(" tiles")xx($2.50)/(12cancel(" tiles")#

#1296/12xx$2.50#

#108xx$2.50#

#color(green)(rArr$270)#