Question

A tile contractor has been hired to tile a rectangular area of a patio that measures 2 yards by 4 yards. The contractor has been instructed to tile the entire area with no space left in between the tiles. Each tile is square and measures 3 inches by 3 inches. How many tiles will the contractor need in order to cover the area of the patio?

Answer 1

1,152 tiles

Explanation:

2 yards = 2 x 36" = 72"

4 yards = 4 x 36" = 144"

Patio area = length width

Patio area = 72" x 144" = 10,368"^2

Tile area = length x width

Tile area = 3" x 3" = 9"^2

Number of tiles = 10,368"^2 / 9"^2 ≈ 1,152 tiles