Final answer:
To calculate the number of tiles needed, find the area of the patio and divide it by the area of each tile. The area of the patio is 120m² and the area of each tile is 900cm². Therefore, 14 tiles are needed.
Step-by-step explanation:
To calculate the number of tiles needed, we need to find the area of the patio and divide it by the area of each tile.
The area of the patio is 10m x 12m = 120m². To convert this to cm, we multiply by 100, getting 12000cm².
The area of each tile is 30cm x 30cm = 900cm².
Dividing the area of the patio by the area of each tile, we get 12000/900 = 13.33. Since we need to use whole tiles, we round up to the nearest whole number, which is 14.