Answer:
768 tiles would be required to tile the floor.
Explanation:
Let's first calculate the number of square meters that the rectangular floor represents, by using the formula for the area of a rectangle (length x width):
Floor area = 8 m x 6 m = 48
![m^2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/xjkldlqcjzmqogeuslgcfj7qyb3ywp3z5v.png)
Next, let's convert the side of the square tiles into meters in order to keep the same units in both (floor area an tile area):
25 cm = 0.25 m
Then the are of a square tile can be obtained by the formula 0.25 m x 0.25 m = 0.0625
![m^2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/xjkldlqcjzmqogeuslgcfj7qyb3ywp3z5v.png)
Now to find the number of tiles needed, we perform the division of the total floor area to be covered divided by the area covered by a single tile:
Number of tiles needed: 48
/ 0.0625
= 768 tiles