a room is 8m long and 6m wide . its floor is to be covered with rectangular tiles of sides 25cm by 20cm. how many tiles will be required . find the cost of these tiles at rs25 per tile
Answers
Given,
Length of the floor = 8m
Width of the floor = 6m
Length of the tile = 25 cm
Width of the tile = 20 cm
Cost of one tile = 25 Rupees
To find,
The total cost of tiles to cover the floor
Solution,
We can solve this problem by the following steps
Given that
Length of the floor in meters. Width of the floor in meters.
Length and width of the tile in cm.
Area of a rectangle= Length(L) × Width(W)
Here,
Length = 8m
Width = 6m
Therefore
Area of the rectangular floor = L × W
= 8 × 6
= 48 m²
1m = 100 cm
Therefore,
To convert m into cm = n × 100
(whereas n =number in m)
If n= 48
Then,
48 m= 48 × 100
=4800 cm
Then,
Length of one tile(L) = 25 cm
Width of one tile(W) = 20 cm
Therefore,
Area of one tile = L × W
= 25 × 20
= 500 cm²
Total number of tiles for covering the floor= Area of room÷ Area of tile
= 4800 ÷ 500
= 9.6 tiles
If,
Cost of one tile = 25 Rupees
Then,
Total Cost of tiles for covering the floor = Number of tiles × Cost of one tile
i.e.,
The total cost of 9.6 tiles = 9.6 × 25
= 240 Rupees
Thus, the total cost of 9.6 tiles to cover this floor at Rs25 per tile is 240 Rupees.
Number of tiles required is 960 and cost of tiling is Rs 24000 if room is 8m long and 6m wide and tile size is 25cm by 20cm and one tile cost rs 25
Given:
- A room is 8 m long and 6 m wide
- Floor to be covered with rectangular tiles of side 25 cm by 20 cm
To Find:
- Number of tiles required
- Cost of tiling at R 25 per tile
Solution
- Area of rectangle = length x breadth
- 1 m = 100 cm
- 1 m² = (100 cm)² = 10000 cm²
Step 1:
Find area of room floor
Area of Floor = 8 x 6 m²
Area of Floor = 48 m²
Area of Floor = 48 x 10000 cm²
Area of Floor = 480000 cm²
Step 2:
Find area of a tile
Area of a Tile = 25 x 20 cm²
Area of a Tile = 500 cm²
Step 3:
Calculate number of tiles
Number of tiles = Area of Floor / Area of a Tile
Number of tiles = 480000/500
Number of tiles = 960
Step 4:
Calculate cost of tiling
Cost of tiling = Number of tiles x cost of a Tile
Cost of tiling = 960 x 25
Cost of tiling = 24000 Rs
Number of tiles required is 960 and cost of tiling is Rs 24000