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

Answer:

102 tiles needed to cover the entire floor.

Step-by-step 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 $1\frac{1}{3}$ 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 $A=L\times B$

$A_r=15\times 12$

$A_r=180\ ft^2$

The tiles are square with side lengths $1\frac{1}{3}=\frac{4}{3}$ feet.

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

$A_t=(\frac{4}{3})^2$

$A_t=\frac{16}{9}\ ft^2$

Number of tiles needed to cover the entire floor is

$n=\frac{A_r}{A_t}$

$n=\frac{180}{\frac{16}{9}}$

$n=\frac{180\times 9}{16}$

$n=101.25$

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