Mark and Juanita want to tile their kitchen floor. If the kitchen floor is shaped like a rectangle and measures 11 feet × 14 feet, how many square tiles will they need to cover the floor is each square tile measures 4 inches × 4 inches?
12in/ft
thats 9 tiles/sq foot (3x3grid)
11*14=154sqft
154*9=1386
1386 tiles
To find out how many square tiles Mark and Juanita will need to cover their kitchen floor, we need to calculate the area of the kitchen floor and the area of a single tile.
First, let's convert the measurements to the same unit. The kitchen floor measures 11 feet × 14 feet, while each square tile measures 4 inches × 4 inches.
Since we want to use the same unit, let's convert the measurements of the kitchen floor from feet to inches:
1 foot = 12 inches
So, the dimensions of the kitchen floor in inches will be:
11 feet × 12 inches/foot = 132 inches
14 feet × 12 inches/foot = 168 inches
Now, let's calculate the area of the kitchen floor by multiplying the length and width:
Area of the kitchen floor = length × width
= 132 inches × 168 inches
= 22,176 square inches
Next, let's find out the area of a single tile. Since each tile measures 4 inches × 4 inches, its area will be:
Area of a single tile = length × width
= 4 inches × 4 inches
= 16 square inches
Now, to determine how many tiles are needed to cover the kitchen floor, we divide the area of the kitchen floor by the area of a single tile:
Number of tiles needed = Area of the kitchen floor / Area of a single tile
= 22,176 square inches / 16 square inches
= 1,386 tiles
Therefore, Mark and Juanita will need approximately 1,386 square tiles to cover their kitchen floor if each square tile measures 4 inches × 4 inches.