what is the least number of tiles that are needed to completely cover a rectangular center piece 3 yards by 5 yards if a rectangular decorative tile is 2 inches by 3 inches respectively?
Convert area into inches.
3(36) * 5(36) = area in inches
Divide that by 6 in^2.
90 tiles
To find the least number of tiles needed to cover a rectangular center piece, you need to determine the total area of the center piece and the individual area of each tile. Then, divide the total area of the center piece by the area of each tile.
First, let's convert the dimensions of the center piece from yards to inches. Since there are 36 inches in a yard, the dimensions become 3 yards * 36 inches/yard = 108 inches by 5 yards * 36 inches/yard = 180 inches.
Next, calculate the area of the center piece by multiplying its length and width: Area = Length * Width = 108 inches * 180 inches = 19,440 square inches.
Now, let's calculate the area of a single tile by multiplying its length and width: Area = Length * Width = 2 inches * 3 inches = 6 square inches.
To find the least number of tiles needed to cover the center piece, divide the total area of the center piece by the area of each tile: Number of tiles = Total area of the center piece / Area of each tile = 19,440 square inches / 6 square inches ≈ 3,240 tiles.
Therefore, you would need approximately 3,240 tiles to completely cover the rectangular center piece.