Final answer:
To cover a 200-square-foot floor with tiles measuring 3/4 square feet each, divide the total area by the tile area, resulting in approximately 266.67, which rounds up to 267 tiles, making option G the correct answer.
Step-by-step explanation:
To determine how many square tiles are needed to cover a 200-square-foot floor, we perform a division of the total area by the area of one tile. The problem states that one square tile covers 3/4 square feet. Therefore, to find the number of tiles needed, we divide the total floor area (200 square feet) by the area covered by one tile (3/4 square feet).
The calculation would be:
1. Write the total area: 200.
2. Write the area of one tile: 3/4.
3. Perform the division: 200 ÷ (3/4).
4. Convert 3/4 to its decimal form, which is 0.75.
5. Again, perform the division: 200 ÷ 0.75.
6. The result of this division gives us the number of tiles required, which is 266.67.
Since we cannot have a fraction of a tile, we round up to the next whole number. Hence, we need 267 tiles to cover the floor completely. Therefore, the answer to the question is option G. 267 tiles, which is the number of tiles required to cover a 200 square foot floor.