The floor of a rectangle hall is of length 9m and width 4m .How many tiles of 20ck by 30cm can be used to cover the floor completely.
I don't know .
Pls help me with it
dont know
It sort of depends in which pattern you lay the tiles
Since the length of 900 cm and width of 400 cm for the room are multiples of both 20 cm and 30 cm, using the same orientation of the tiles, you will need
(900)(400) / (20)(30) tiles = 600 tiles
or
the short end of the tile along the 400 cm floor would be 400/20 and the long
end of the room would be 900/30 , so 20(30) = 600
or
the long end of the tile along the 400 cm floor would be 400/30 = 13 1/3 tiles
the short end of the tile along the 900 cm floor would be 900/20 = 45 tiles
assuming we will not be able to cut tiles without loss we will need
13(45) + 45 or 630 for this case
we could also lay them as 20 cm, 30 cm, 20 cm, 30 cm ... along both
the length and the width.
Since the pattern would then be 50 cm in length, and 50 divides
evenly into both 900 and 400, that would also need 600 tiles
but suppose you try to be fancy, and lay 2 tiles along their width, followed by a tile along its length. So that pattern would be 20+20+30 or 70 cm long
Along the length of the room of 900 cm you would be able to do this
900/70 or 12.8.. times, that is, you will need a partial tile at the end of
both the length and the width of the room.
This is just one example of a "pattern".
My guess is that they didn't take that into consideration, and let's go
with 600 tiles.
To find out how many tiles of size 20cm by 30cm can be used to cover the rectangular floor completely, we need to calculate the total area of the floor and divide it by the area of each tile.
1. Calculate the area of the floor:
Area = Length x Width
Area = 9m x 4m
However, since the dimensions of the tiles are given in centimeters, we need to convert the dimensions of the floor to centimeters as well.
1 meter = 100 centimeters
Length (in cm) = 9m x 100cm/m
= 900cm
Width (in cm) = 4m x 100cm/m
= 400cm
Thus, the area of the floor in square centimeters is:
Area = 900cm x 400cm
2. Calculate the area of each tile:
Area of tile = Length x Width
Area of tile = 20cm x 30cm
3. Calculate the number of tiles needed:
Number of tiles = Floor area / Tile area
Substituting the values:
Number of tiles = (900cm x 400cm) / (20cm x 30cm)
Simplifying the expression:
Number of tiles = 36
Therefore, you would need 36 tiles of size 20cm by 30cm to cover the rectangular floor completely.