Cost of Covering a Floor with a Carpet

To find the cost of covering a floor with a carpet, we need to consider the dimensions of the floor and the width of the carpet, as well as the cost per meter of the carpet.

Given:
- Floor dimensions: 8.1m by 6.6m
- Carpet width: 70cm
- Cost per meter of carpet: Rs. 20

Calculating the Area of the Floor

The first step is to calculate the area of the floor that needs to be covered by the carpet. To do this, we use the formula for finding the area of a rectangle:

Area = Length x Width

In this case, the length of the floor is 8.1m and the width is 6.6m. Therefore, the area of the floor is:

Area = 8.1m x 6.6m = 53.46 square meters

Calculating the Area Covered by One Meter of Carpet

Next, we need to calculate the area covered by one meter of the carpet. Since the width of the carpet is given in centimeters, we need to convert it to meters. There are 100 centimeters in a meter, so the width of the carpet in meters is:

Width of carpet = 70cm ÷ 100 = 0.7m

To find the area covered by one meter of the carpet, we multiply the width of the carpet by the length of the floor:

Area covered by one meter of carpet = 0.7m x 6.6m = 4.62 square meters

Calculating the Number of Meters of Carpet Needed

To find the number of meters of carpet needed to cover the floor, we divide the area of the floor by the area covered by one meter of carpet:

Number of meters of carpet = Area of the floor ÷ Area covered by one meter of carpet

Number of meters of carpet = 53.46 square meters ÷ 4.62 square meters = 11.57 meters (rounded up to 12 meters)

Calculating the Cost of the Carpet

Finally, we can calculate the cost of the carpet by multiplying the number of meters of carpet needed by the cost per meter:

Cost of carpet = Number of meters of carpet x Cost per meter

Cost of carpet = 12 meters x Rs. 20/meter = Rs. 240

Therefore, the cost of covering the floor with a carpet 8.1m by 6.6m, with a carpet 70cm wide at Rs. 20 per meter, is Rs. 240.

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