how many rectangular tiles 10 cm by 7 cm will be required to cover a floor 14 m by 25/2 m and what will the cost at rupay 5 per hundred tiles?
Answers
Area of rectangle = length × breadth
Rectangular tiles 10 cm by 7 cm required to cover a floor 14 m by 25/2 m.
Here..
• Length of tile = 10 cm
• Breadth of tile = 7 cm
• Length of floor = 14 m
• Breadth of floor = 12.5 m (25/2)
Length and breadth of tiles are given in cm and length and breadth of floor is given in m.
Now, convert cm into m.
To convert cm into m divide by 100.
So,
• Length of tile = 0.1 m
• Breadth of tile = 0.07 m
According to question,
Area of tile = length × breadth
→ 0.1 × 0.07
→ 0.007 m²
Similarly,
Area of floor = length × breadth
→ 14 × 12.5
→ 175 m²
So,
Number of tiles required = Area of floor/Area of tiles
Substitute the known values above
→ 175/0.007
→ 25000
∴ 25000 tiles are required.
Cost per hundred tiles = Rs. 5
→ (25000 × 5)/100
→ 250 × 5
→ Rs. 1250
•°• Rs. 1250 is required.
Answer:
Step-by-step explanation:
Given :-
Dimension of times
Length of tiles = 10 cm
Breadth of tiles = 7 cm
Dimension of floor
Length of floor = 14 m
Breadth of floor = m
To Find :-
Number of tiles needed
Cost of tiles
Formula to be used :-
Area of rectangle = Length × Breadth
Solution :-
Area of tiles = 10 cm × 7cm
Area of tiles = 70 cm²
Area of floor = 14m × 25/2 m
Area of floor = 175 m²
Converting m² into cm² = 175 × 10000 cm ²
= 1750000 cm²
Number of tiles needed = 1750000/70
Number of tiles needed = 25000
Cost of tiles = 5/100 × 25000
Cost of tiles = Rs 1250
Hence, The Number of tiles needed are 25000 and Cost of tiles Rs 1250.