The floor of a rectangle room will be tiled with square tiles that measure 3 inches on each side the room is 109 inches long and 103 inches wide how many tiles including parts of tiles are needed to complete the job? A.1,248 tiles B.1,247 tiles C.1,224 tiles D.1,295tiles

Mathematics · High School · Wed Jan 13 2021

Answered on

To determine the number of tiles needed, we can calculate the area of the room and divide it by the area of one tile.

First, calculate the area of the room: Length of the room = 109 inches Width of the room = 103 inches Area of the room = Length × Width Area of the room = 109 inches × 103 inches Area of the room = 11,227 square inches

Next, calculate the area of one tile: Since the tile is a square with each side measuring 3 inches: Area of one tile = Side × Side Area of one tile = 3 inches × 3 inches Area of one tile = 9 square inches

Now, divide the area of the room by the area of one tile to find how many whole tiles are needed: Number of whole tiles needed = Area of the room ÷ Area of one tile Number of whole tiles needed = 11,227 square inches ÷ 9 square inches Number of whole tiles needed = 1,247 and a fraction of a tile

Since you cannot have a fraction of a tile, you need to round up to the next whole number. Therefore, you actually need 1,248 tiles to cover the entire floor, assuming that you will have to cut some tiles to fit the edges.

The correct answer is A. 1,248 tiles.