Aniket wants to cover the floor of a room which is 10 cm long and 5m wide with square tiles. If side of each tile is 0.5m, then find the number of tiles required to cover the floor of the room.
Please help!
Answers
Answer:
200
Step-by-step explanation:
Seems like 'length of the room is 10 m'.
Area of the floor = length x breadth
= 10 m x 5 m
= 50 m²
Let there must n number of tiles to cover an area of 50 m² .
Total area = n x area of 1 tile
50 = n x (0.5)² {ar. of sq. = side²}
50 = n x 0.25
200 = n
200 tiles are needed to cover the floor of the room,
Given that -:
★ Aniket wants to cover the floor of a room which is 10 cm long and 5m wide with square tiles. Means,
- Length of the floor = 10 cm
- Breadth of the floor = 5 m
★ Side of each tile is 0.5 m
To find -:
★ The number of tiles required to cover the floor of the room.
Solution -:
★ The number of tiles required to cover the floor of the room = 2
Using concepts -:
★ Formula to find area of rectangle.
★ Formula to find area of square
★ Formula to convert cm into m
Using formula -:
★ A of rectangle = L×B
★ A of square = (a)²
★ 1 cm = 1/100 m
Where,
- L denotes length
- B denotes breadth
- a denotes side of square
- ² denotes square
Full solution -:
~ As the length and breadth are given in differ-differ units as cm and m so let's convert one of them into another. Lets convert cm into m.
→ 1 cm = 1/100 m
→ 10 cm are given in question. So,
→ 10/100
→ 1/10
→ 0.1 m
→ Henceforth, 0.1 m is length of floor.
~ Now let us find the area of the floor.
→ Length of the floor = 0.1 m
→ Breadth of the floor = 5 m
→ Area of floor = l×b
→ Area of floor = 0.1 × 5
→ Area of floor = 0.5 metres
~ Now let's find the number of tiles required to cover the floor of the room.
- No. of tiles be a. (assumption)
→ 0.5 = a × (0.5)²
→ 0.5 = a × 0.25
→ 0.5/0.25 = a
→ 2 = a
→ a = 2