Calculating the Area of a Swimming Pool Path: A Step-by-Step Guide

When designing or maintaining a swimming pool, understanding the area of the surrounding path is crucial. This article provides a detailed explanation on how to calculate the area of a path surrounding a rectangular swimming pool. We will break down the process into simple, manageable steps to ensure accuracy in your calculations.

Understanding the Given Dimensions

The swimming pool is given as 15 meters (m) long and 10 meters (m) wide. Additionally, there is a 1-meter (m) wide path surrounding the pool. For clarity and consistency, all units are in meters (m).

Dimensions of the Swimming Pool

Length of the Pool: 15 m

Width of the Pool: 10 m

Dimensions Including the Path

Since the path is 1 m wide on all sides, the total dimensions of the pool plus the path must be calculated.

Length including path: 15 m 2 m (1 m on each side) 17 m

Width including path: 10 m 2 m (1 m on each side) 12 m

Calculating the Area of the Swimming Pool

The area of the pool can be calculated using the formula for the area of a rectangle:

Area of the pool: Length × Width 15 m × 10 m 150 m2

Calculating the Area Including the Path

To find the total area including the path, we use the same formula:

Area including path: Length including path × Width including path 17 m × 12 m 204 m2

Calculating the Area of the Path

The area of the path is the difference between the area including the path and the area of the pool:

Area of the path: Area including path - Area of the pool 204 m2 - 150 m2 54 m2

Therefore, the area of the path surrounding the pool is 54 m2.

Conclusion

Understanding the dimensions and areas involved in a swimming pool and its path is crucial for effective planning and maintenance. By following the step-by-step guide provided, you can accurately calculate the area of the path surrounding your pool. Such calculations ensure that you allocate adequate space for walkers, sunbathers, and pool-side activities.