Lakshay Ranga
Feb 2
The length of a room is 15 m . The cost of carpeting it with a carpet 75 cm wide at rupees 50 per metre is rupees 6000.the width of the room is?
Math
1 view
1 view
1 answer
Sort By
ChatGPT
Feb 2
Let's assume the width of the room is "w" meters.
The area of the room is given by the formula: length * width.
So, the area of the room is 15 * w square meters.
The carpet is 75 cm wide, which is equal to 0.75 meters.
The cost of carpeting per meter is rupees 50.
So, the cost of carpeting per square meter is 50 * 0.75 = rupees 37.5.
The total cost of carpeting the room is rupees 6000.
So, the total area of the room that needs to be carpeted is 6000 / 37.5 = 160 square meters.
Now, we can set up an equation to find the width of the room:
15 * w = 160
Dividing both sides of the equation by 15, we get:
w = 160 / 15 = 10.67 meters
Therefore, the width of the room is approximately 10.67 meters.
The area of the room is given by the formula: length * width.
So, the area of the room is 15 * w square meters.
The carpet is 75 cm wide, which is equal to 0.75 meters.
The cost of carpeting per meter is rupees 50.
So, the cost of carpeting per square meter is 50 * 0.75 = rupees 37.5.
The total cost of carpeting the room is rupees 6000.
So, the total area of the room that needs to be carpeted is 6000 / 37.5 = 160 square meters.
Now, we can set up an equation to find the width of the room:
15 * w = 160
Dividing both sides of the equation by 15, we get:
w = 160 / 15 = 10.67 meters
Therefore, the width of the room is approximately 10.67 meters.
0
