Converting the Length to Centimeters

Oct 13, 2025 by talynt.org 43 views

Understanding the Problem

In this problem, we are given the dimensions of a rectangular carpet and the cost per meter. We need to find the total cost of the carpet. To do this, we first need to calculate the area of the carpet and then multiply it by the cost per meter.

Given Information

Length of the carpet: 30m 75cm
Width of the carpet: 80cm
Cost per meter: 12 rupees

Converting the Length to Centimeters

To make the calculation easier, we need to convert the length of the carpet from meters to centimeters. We know that 1 meter is equal to 100 centimeters.

# Converting the length from meters to centimeters
length_in_cm = 30 * 100 + 75
print("Length in cm:", length_in_cm)

Calculating the Area of the Carpet

Now that we have the length and width of the carpet in centimeters, we can calculate the area of the carpet. The area of a rectangle is given by the formula:

Area = Length × Width

# Calculating the area of the carpet
area = length_in_cm * 80
print("Area of the carpet:", area, "cm²")

Converting the Area to Square Meters

To find the cost of the carpet, we need to convert the area from square centimeters to square meters. We know that 1 square meter is equal to 10,000 square centimeters.

# Converting the area from square centimeters to square meters
area_in_m² = area / 10000
print("Area of the carpet in m²:", area_in_m²)

Calculating the Cost of the Carpet

Now that we have the area of the carpet in square meters, we can calculate the cost of the carpet. We know that the cost per meter is 12 rupees.

# Calculating the cost of the carpet
cost = area_in_m² * 12
print("Cost of the carpet:", cost, "rupees")

Conclusion

In this problem, we calculated the cost of a rectangular carpet given its dimensions and the cost per meter. We first converted the length of the carpet from meters to centimeters, then calculated the area of the carpet, converted the area from square centimeters to square meters, and finally calculated the cost of the carpet.

Final Answer

Q: What is the formula to calculate the area of a rectangular carpet?

A: The formula to calculate the area of a rectangular carpet is:

Area = Length × Width

Q: How do I convert the length of the carpet from meters to centimeters?

A: To convert the length of the carpet from meters to centimeters, you can multiply the number of meters by 100 and then add the number of centimeters.

Q: What is the difference between square centimeters and square meters?

A: 1 square meter is equal to 10,000 square centimeters. To convert the area of the carpet from square centimeters to square meters, you can divide the area in square centimeters by 10,000.

Q: How do I calculate the cost of the carpet if the cost per meter is given?

A: To calculate the cost of the carpet, you can multiply the area of the carpet in square meters by the cost per meter.

Q: What if the dimensions of the carpet are given in feet and inches? How do I convert them to meters and centimeters?

A: To convert the dimensions of the carpet from feet and inches to meters and centimeters, you can use the following conversion factors:

1 foot = 0.3048 meters 1 inch = 2.54 centimeters

You can convert the length and width of the carpet from feet and inches to meters and centimeters by multiplying the number of feet by 0.3048 and adding the number of inches multiplied by 2.54.

Q: Can I use a calculator to calculate the cost of the carpet?

A: Yes, you can use a calculator to calculate the cost of the carpet. Simply enter the length and width of the carpet in meters and centimeters, and the cost per meter, and the calculator will give you the total cost of the carpet.

Q: What if the carpet is not a perfect rectangle? How do I calculate the cost of the carpet?

A: If the carpet is not a perfect rectangle, you can calculate the cost of the carpet by dividing the carpet into smaller rectangles and calculating the area and cost of each rectangle separately. Then, you can add up the areas and costs of all the rectangles to get the total area and cost of the carpet.

Q: Can I use a formula to calculate the cost of the carpet if the dimensions are given in feet and inches?

A: Yes, you can use a formula to calculate the cost of the carpet if the dimensions are given in feet and inches. The formula is:

Cost = (Length in feet × 0.3048 + Length in inches × 0.0254) × (Width in feet × 0.3048 + Width in inches × 0.0254) × Cost per meter

Conclusion

In this article, we have answered some frequently asked questions about calculating the cost of a rectangular carpet. We have provided formulas and conversion factors to help you calculate the cost of the carpet if the dimensions are given in meters and centimeters, feet and inches, or other units.