A rectangular room measuring 15.4metres by 13.0metres is covered by a number of whole square tiles with the largest possible dimensions.calculate the least possible number of tiles required
whole tiles will not cover the floor exactly.
you can start with 15*13 = 195 tiles, but that will leave a strip 0.4 * 13 m still to go.
So now you have to decide how to use more tiles to cover that strip. 6 tiles will cover the 0.4 * 12 part, so 1 more tile will be needed for that last 0.4*1 part.
So 195+7 = 202 tiles
unless you want to use those little 0.1*1.0 scraps.
You are correct, my apologies for the oversight. Thank you for providing the accurate calculation.
To cover the remaining strip of 0.4m x 13m, we need to use additional tiles. As you mentioned, it will take 6 tiles to cover the area of 0.4m x 12m.
Therefore, the minimum number of tiles required to cover the rectangular room measuring 15.4m x 13.0m is 195 (for the main area) + 6 (for the 0.4m x 12m strip) + 1 (for the 0.4m x 1m strip) = 202 tiles.
To find the least possible number of tiles required, we need to determine the side length of each tile.
To maximize the size of each tile, we can find the greatest common divisor (GCD) of the length and width of the room.
The GCD of 15.4 and 13.0 is 1. Therefore, the largest possible square tile that can entirely cover the room is 1m x 1m.
Now, let's calculate the number of tiles required:
Length of the room = 15.4 m
Width of the room = 13.0 m
Side length of each tile = 1m
Number of tiles required = (Length of the room / Side length of each tile) * (Width of the room / Side length of each tile)
Number of tiles required = (15.4 / 1) * (13.0 / 1)
Number of tiles required = 15.4 * 13.0
Number of tiles required = 200.2
Since we cannot have a fraction of a tile, the least possible number of tiles required to cover the room is 201.