The floor of a rectangular 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. 1,295 tiles
I think it is A but I am not sure...
109/3 = 36.3
103/3 = 34.3
So, assuming no partial tiles are used, the job needs
37*34=1258
Hmm. Not a choice. So, assuming the cut pieces can be used,
(109*103)/(3*3) = 1247.4, so A seems reasonable.
Your second assumption is correct, but it would be 1248 because 0.4 of a tile requires an extra tile. Basically, you found the total area and divided it by the area of one tile, which indeed did give you the number of tiles necessary to fill it up. And since you can't have 0.4 of a tile, an extra tile will be required
To find out the number of tiles needed to tile the floor, you first need to calculate the area of the rectangular room.
The area of a rectangle is calculated by multiplying its length and width. In this case, the length is 109 inches and the width is 103 inches.
Area = Length x Width
Area = 109 inches x 103 inches
Calculating this gives us:
Area = 11,227 square inches
Since each tile measures 3 inches on each side, the area covered by each tile is 3 inches x 3 inches = 9 square inches.
To find the number of tiles needed, you divide the total area of the room by the area covered by each tile:
Number of tiles = Total area / Area per tile
Number of tiles = 11,227 square inches / 9 square inches
Calculating this gives us:
Number of tiles = 1,247 tiles
Therefore, the correct answer is option B: 1,247 tiles.
To determine the number of tiles needed to complete the job, we need to calculate the area of the rectangular room first.
The area of a rectangle is calculated by multiplying its length by its width.
Given:
Length of the room = 109 inches
Width of the room = 103 inches
So, the area of the rectangular room is 109 inches * 103 inches = 11,227 square inches.
Now, to find the number of tiles needed, we divide the total area of the room by the area of each tile.
The area of each tile is given as: 3 inches * 3 inches = 9 square inches.
Therefore, the number of tiles needed is 11,227 square inches / 9 square inches = 1,247.44.
Since we cannot have a fraction of a tile, we need to round up to the nearest whole number.
Therefore, the correct answer is 1,248 tiles (option A).