17. How many rectangular tiles 10 cm by 7 cm will
be required to cover a floor 14 m by 12 m
and what will be the cost at 5 per hundred
tiles?
Answers
Correct Question :
How many rectangular tiles 10 cm by 7 cm will be required to cover a floor 14 m by 12.5 m and what will be the cost at 5 per hundred tiles?
Solution :
Area of rectangle = length × breadth
Rectangular tiles 10 cm by 7 cm required to cover a floor 14 m by 12 m.
Here..
- Length of tile = 10 cm
- Breadth of tile = 7 cm
- Length of floor = 14 m
- Breadth of floor = 12.5 m
Length and breadth of tiles are given in cm and length and breadth of floor is given in m.
Let's convert cm into m.
To convert cm into m divide by 100.
Now,
- 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
→ 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.
Area of tile = 0.07 m^2
Ara of floor = 168 m^2
Number of tiles = 168/0.07
2400
2400×5/100
120 tiles