Calculating the Number of Tiles Needed for a Rectangular Region

In this article, we will explore the process of determining the number of tiles required to cover a rectangular region. The dimensions of the tiles and the rectangular region are given, and we will walk through the mathematical steps to find the solution. This process is essential for any project involving tiling, such as flooring or wall decoration.

Understanding the Dimensions of the Tiles

Consider a tile with a length of 13 cm and a breadth of 7 cm. These dimensions determine the area covered by a single tile:

Area of one tile length × breadth 13 cm × 7 cm 91 cm2

Calculating the Area of the Rectangular Region

The rectangular region to be covered has a length of 520 cm and a breadth of 140 cm. To find the total area that needs to be covered, we use the formula for the area of a rectangle:

Area of the rectangular region length × breadth 520 cm × 140 cm 72,800 cm2

Determining the Number of Tiles Needed

To find out how many tiles are required to cover the rectangular region, we divide the area of the region by the area of one tile:

Number of tiles Area of the rectangular region ÷ Area of one tile 72,800 cm2 ÷ 91 cm2 ≈ 800

Thus, 800 tiles are needed to cover the rectangular region. This calculation is crucial for any tiling project to ensure that enough material is purchased without wastage.

Calculation Using Basic Arithmetic

For a more practical approach, we can break down the problem:

Length of tile 13 cm Breadth of tile 7 cm Rectangular region 520 cm × 140 cm

The area of the rectangular region can be calculated as:

Area of the rectangular region 520 cm × 140 cm 72,800 cm2

The area of one tile is:

Area of one tile 13 cm × 7 cm 91 cm2

The number of tiles required is then:

No. of tiles 72,800 cm2 ÷ 91 cm2 ≈ 800

This confirms that 800 tiles are needed to cover the rectangular region.

Advanced Interpretation and Conclusion

In conclusion, the process of determining the number of tiles needed for a rectangular region involves calculating the area of both the tiles and the region. Dividing the total area of the region by the area of one tile gives the final number of tiles required. This ensures precision in tiling projects and helps in efficient planning and budgeting.

For those interested in ensuring accurate calculations and practical applications, the steps outlined above provide a clear and detailed process. Whether you are an interior designer, a homeowner, or a construction professional, understanding these calculations is essential.

Keywords: area of rectangle, number of tiles, tile dimensions