Accurately determining the optimal use of land is crucial in land management, especially when dividing a rectangular piece of land into smaller, uniform plots for various purposes. This article explores the process of calculating the number of 20m x 20m square plots that can be made on a rectangular piece of land measuring 100m in length and having an area of 5000m2. The discussion includes understanding the area, width of the land, and how to divide it into equal-sized plots, as well as optimizing land usage to ensure maximum efficiency.

Understanding the Problem

The problem involves a rectangular piece of land with a specific length and area. The goal is to determine how many 20m x 20m square plots can be created on this land. Here’s a detailed step-by-step guide to solve this problem:

Given Data

Length (L) 100m Area (A) 5000m2 Side of each square plot 20m

Calculating Width of the Land

The width of the land can be calculated using the formula for the area of a rectangle, which is:

[ A L times W ]

Here, the width (W) can be determined as:

[ W frac{A}{L} frac{5000}{100} 50 text{ m} ]

Calculating the Number of Square Plots

To find the total number of 20m x 20m square plots that can be made from this rectangular land, follow these steps:

Divide the length (100m) by the width of each plot (20m):

100 / 20 5 plots along the length.

Divide the width (50m) by the width of each plot (20m):

50 / 20 2.5, but since we can only have whole plots, we take 2 full plots along the width.

Thus, the total number of 20m x 20m square plots can be calculated as:

[ text{Total number of plots} 5 times 2 10 text{ full plots} ]

Detailed Calculation Breakdown

Starting with the length (100m), we can mark 5 plots of 20m width along the length. Similarly, starting with the width (50m), we can mark 2 full plots of 20m width along the width. This results in 10 full square plots:

[ text{Total number of plots} 5 times 2 10 text{ plots} ]

Additionally, a strip of land that is 100m x 10m remains unused or could be used for walkways or additional purposes.

Conclusion

Accurate measurements and planning are essential when optimizing land usage. By dividing a 100m x 50m rectangular piece of land into 20m x 20m square plots, 10 full plots can be created, maximizing the use of the available land while ensuring efficient and organized plots for various activities.

Key Takeaways

Use the area formula to determine the width of the land. Divide the length and width of the rectangular land by the side length of the square plots. Calculate the number of plots based on the integer division results. Identify and use any remaining land for other purposes like walkways.

By following these steps, you can efficiently optimize the use of land, ensuring maximum productivity and organization.