Can you completely cover a 4 ft by 8 ft area with 3 ft by 3 ft tiles without cutting the tiles?
To determine if you can completely cover a 4 ft by 8 ft area with 3 ft by 3 ft tiles without cutting the tiles, we can calculate the total number of tiles needed and compare it to the number of tiles we have.
First, let's calculate the area of the 4 ft by 8 ft area:
Area = Length * Width = 4 ft * 8 ft = 32 square feet.
Next, let's calculate the area of each tile:
Area per Tile = Length * Width = 3 ft * 3 ft = 9 square feet.
Now, let's calculate the number of tiles needed to cover the 4 ft by 8 ft area:
Number of Tiles Needed = Total Area / Area per Tile = 32 square feet / 9 square feet ≈ 3.56 tiles.
Since we cannot have a fraction of a tile, we need to round up to the nearest whole tile. Therefore, we would need at least 4 tiles to cover the area.
So, if we have only 4 tiles available, we can successfully cover the 4 ft by 8 ft area without cutting the tiles. However, if we have only 3 tiles available, we would not have enough to cover the entire area without cutting a tile.
In summary, to determine if you can completely cover a 4 ft by 8 ft area with 3 ft by 3 ft tiles without cutting the tiles, calculate the total number of tiles needed by dividing the area of the area to be covered by the area of each tile. If the number of tiles needed is a whole number, you have enough tiles to cover the entire area without cutting them.