Final answer:
Artemis will need 150 2 foot by 2 foot square tiles to cover a rectangular floor that is 20 feet by 30 feet.
Step-by-step explanation:
The student asks how many 2 foot by 2 foot square tiles it will take to cover a rectangular floor that measures 20 feet by 30 feet. To determine this, we calculate the area of the floor and the area of one tile, both in square feet, and then divide the floor area by the tile area.
First, calculate the area of the floor: Area = length × width = 20 feet × 30 feet = 600 square feet.
Then, calculate the area of one tile: Area = length × width = 2 feet × 2 feet = 4 square feet.
Finally, divide the total floor area by the area of one tile to find out how many tiles are needed: 600 square feet / 4 square feet per tile = 150 tiles.
Artemis will need 150 2 foot by 2 foot square tiles to cover the entire floor without overlap.