find the cost of carpeting of a room 13 m bt 9m with carpet of width 75 cm ₹ 102 per meter
Answers
Answer:
Answer
Length of the room = 13 m
Breadth of the room = 9 m
Area of the room = l × b = 13 × 9 = 117 sq m
Let the length of the carpet required = 'l' m
Width of the carpet = 75 cm = 0.75 m
Area of the carpet = Area of the room
⇒ l × 0.75 = 117
⇒ l = 117 / 0.75
⇒ l = 156 m
Length of the carpet required = 156 m
Cost of the carpet per metre = Rs 105
Total cost of the carpet = 156 × 105 = Rs 16380.
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Correct question:
Find the cost of carpeting a room 13 m by 9 m with a carpet of width 75 cm at Rs.105 per metre.
Answer:
- The cost of carpeting the room is ₹15912.
Given:
- Width of the carpet = 75cm.
- Length of the room = 13m.
- Breadth of the room = 9m.
- Cost of the carpet per metre = Rs. 105.
To find:
- Find the cost of carpeting the room.
Let's understand:
To find the cost of carpeting the room , We need to find the length of the carpet first.. to find the cost.
- Area of the room = l × b = 13 × 9 = 117m²
To find length we need to,
So , Let the length of the carpet be x or l.
- As we know , Area of the carpet = Area of the room.
l × 0.75m = 117m²
- As area of the room is given in metres we converted width of the carpet into metres.
l = 117/0.75m
l = 156m
Therefore, Length of the room is 156m.
- So , Length of the carpet is needed for the room = 156m
Given:
- Cost of carpeting the room is ₹ 102 per meter.
So here in this room we have, 156m of carpet.
- As per metre cloth is ₹ 102 , multiply 102 with 156... To find the cost of carpeting the room.
= 102 × 156
= 15912
Hence:
The cost of carpeting the room is ₹15912.