2. If a square has an area of 144 cm", find its sides.
3. Mr Ram wants to put tiles of length 10 cm and breadth 9 cm in his room having length 120 cm and breadth 90 cm. How many tiles are required to cover the area of his room?
4. What is the cost of painting a wall of rectangular surface having length 300 cm and breadth 200 cm, if the rate of painting is 5 per square centimetre?
5. The dimensions of a room are length 110 cm and breadth 90 cm. What will be the area of the carpet to cover the entire floor area of the room?
Answers
Answer:
(a) Area of region = 100 cm x 144 cm = 14400 cm.sq
Area of one tile = 5 cm x 12 cm = 60 cm.sq
Number of tiles = \frac{Area\ of\ region}{Area\ of\ one\ tile} = 240
Thus, 240 tiles are required.
(b) Area of region = 70 cm x 36 cm = 2520 cm.sq
Area of one tile = 5 cm x 12 cm = 60 cm.sq
Number of tiles = \frac{Area\ of\ region}{Area\ of\ one\ tile} = 42
Thus, 42 tiles are required.
Step-by-step explanation:
Question~
- If a square has an area of 144 cm², find its sides.
------------
Given :
- Area of Square = 144 cm²
To find :
- its sides
Solution :
⇒ Let's find the measure of side.
→ Area of Square = s²
→ 144 cm = s²
→ s² = √144
→ s = 12
→ s = 12 cm
- Therefore, the side of the square is 12 cm.
_____________________
Question~
- Mr. Ram wants to put tiles of length 10 cm and breadth 9 cm in his room having length 120 cm and breadth 90 cm. How many tiles are required to cover the area of his room?
------------
Given :
- Length and Breadth of room = 120 cm and 90 cm.
- Length and Breadth of Tiles = 10 cm and 9 cm.
To find :
- how many tiles are required to cover the area of his room?
Solution :
⇒ Let's find the area of room and tile.
→ Area of Room = length × breadth
= 120 × 90
= 10800 cm²
→ Area of Tiles = length × breadth
= 10 × 9
= 90 cm²
→ No of tiles = Area of Room/Area of Tile
= 10800/90
= 1080/9
= 120
- Therefore, 120 tiles are required to cover the area of his room.
_____________________
Question~
- What is the cost of painting a wall of a rectangular surface having a length of 300 cm and breadth of 200 cm if the rate of painting is 5 per square centimeter?
------------
Given :
- Length and Breadth of wall = 300 cm and 200 cm.
- Rate of painting = 5 per sq.cm
To find :
- the cost of painting
Solution :
⇒ Let's find the Area of the Wall.
→ Area of Wall = length × breadth
= 300 × 200
= 60000 m²
⇒ Now, let's find the cost of painting the wall.
→ Cost of painting = 60000 × 5
= 300000
- Therefore, the cost of painting the wall is Rs. 300000.
_____________________
Question~
- The dimensions of a room are length 110 cm and breadth 90 cm. What will be the area of the carpet to cover the entire floor area of the room?
-------------
Given :
- Dimensions of a room are length 110 cm and breadth 90 cm.
To find :
- what will be the area of the carpet?
Solution :
⇒ Let's find the Area of the Carpet.
→ Area of Carpet = length × breadth
= 110 × 90
= 9900 cm²
- Therefore, the Area of the carpet is 9900 cm².