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 [tex]1\frac{1}{3}[/tex] 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 [tex]A=L\times B[/tex]
[tex]A_r=15\times 12[/tex]
[tex]A_r=180\ ft^2[/tex]
The tiles are square with side lengths [tex]1\frac{1}{3}=\frac{4}{3}[/tex] feet.
The area of the tile is [tex]A_t=s^2[/tex]
[tex]A_t=(\frac{4}{3})^2[/tex]
[tex]A_t=\frac{16}{9}\ ft^2[/tex]
Number of tiles needed to cover the entire floor is
[tex]n=\frac{A_r}{A_t}[/tex]
[tex]n=\frac{180}{\frac{16}{9}}[/tex]
[tex]n=\frac{180\times 9}{16}[/tex]
[tex]n=101.25[/tex]
Therefore, Approximately 102 tiles needed to cover the entire floor.
