Question

a worker is tiling the floor of a rectangular room that is 12 feet by 15 feet. THe tiles are square with side lengths 1 1/3 feet. How many tiles are needed to cover the entire floor?

Answer 1

area of room: 12 x 15 = 180 square feet
area of 1 tile = 1 1/3 x 1 1/3 = 1.78 square feet
round to 1.8

180 / 1.8 = 100 tiles are needed

Answer 2

102 tiles needed to cover the entire floor.

Explanation:

Given : A worker is tiling the floor of a rectangular room that is 12 feet by 15 feet. The tiles are square with side lengths
`1(1)/(3)` feet.

To find : How many tiles are needed to cover the entire floor?

Solution :

A rectangular room that is 12 feet by 15 feet.

The area of the room is
`A=L* B`

`A_r=15* 12`

`A_r=180\ ft^2`

The tiles are square with side lengths
`1(1)/(3)=(4)/(3)` feet.

The area of the tile is
`A_t=s^2`

`A_t=((4)/(3))^2`

`A_t=(16)/(9)\ ft^2`

Number of tiles needed to cover the entire floor is

`n=(A_r)/(A_t)`

`n=(180)/((16)/(9))`

`n=(180* 9)/(16)`

`n=101.25`

Therefore, Approximately 102 tiles needed to cover the entire floor.