A worker is handling the four of a rectangle 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? Show your reasoning. Show your reasoning

Step-by-step explanation:

The measure of the floor of the rectangular room that is 12 feet by 15 feet. The formula for determining the area of a rectangle is expressed as

Area = length * width

Area of the rectangular room would be

12 * 15 = 180 feet²

The tiles are square with side lengths 1 1/3 feet. Converting 1 1/3 feet to improper fraction, it becomes 4/3 feet

Area if each tile is

4/3 * 4/3 = 16/9 ft²

The number of tiles needed to cover the entire floor is

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

= 101.25

102 tiles would be needed because the tiles must be whole numbers.