Calculating the Breadth of a Room with Total Flooring Cost and Area

Have you ever needed to calculate the dimensions of a room based on its total flooring cost and the cost per square meter? This article will guide you through the process step-by-step, ensuring you can accurately determine the breadth of a room given certain parameters. Whether you are a professional decorator or a homeowner planning a renovation, understanding these calculations can be incredibly useful.

Understanding the Total Cost and Flooring Rate

The total cost of flooring a room at a rate of Rs 50 per square meter is Rs 4000. To find the total area that can be floored with this budget, we can use the following formula:

Total Area (in square meters) Total Cost / Cost per Square Meter

By plugging in the given values, we can calculate the total area:

Total Area  4000 / 50  80 square meters

This means that with an allocation of Rs 4000 and a flooring rate of Rs 50 per square meter, you can cover a total area of 80 square meters.

Calculating the Breadth Given the Length

Now that we know the total area, we can use the formula for the area of a rectangle to find the breadth of the room. The formula for the area of a rectangle is:

Area Length x Breadth

Given that the length of the room is 10 meters, we can set up the equation as follows:

80  10 x Breadth

To find the breadth, we can rearrange the equation and solve for the unknown:

Breadth  80 / 10  8 meters

Thus, the breadth of the room is 8 meters.

Step-by-Step Calculation Recap

Here is a step-by-step breakdown of the calculations:

Calculate the total area using the formula: Total Area Total Cost / Cost per Square Meter Determine the area of the room given the length and the total area. Use the formula for the area of a rectangle to find the breadth: Breadth Total Area / Length

By following these steps, you can accurately calculate the dimensions of a room based on its total flooring cost and the cost per square meter, making the process straightforward and easy to understand.

Further Reading and Resources

For more detailed information and additional resources, consider exploring the following:

Professional guides on home renovation and decorating Online calculators for flooring and room dimensions Articles on cost estimates and budget planning for home improvement projects

By leveraging these tools and resources, you can make informed decisions and budget effectively for your home improvement projects.