Question

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?

Answer 1

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

Explanation:

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)`