Calculating the Area of the Park

Oct 13, 2025 by vinooalluri.com 141 views

Introduction

In this article, we will explore the concept of finding the area of a walking track within a rectangular park. The park is 50 meters long and 30 meters wide, and it has a walking track of width 2 meters all around the inside. We will use mathematical formulas to calculate the area of the walking track.

Understanding the Problem

To find the area of the walking track, we need to understand the dimensions of the park and the walking track. The park is a rectangle with a length of 50 meters and a breadth of 30 meters. The walking track is 2 meters wide and is located inside the park, all around its perimeter.

Calculating the Area of the Park

Before we can find the area of the walking track, we need to find the area of the park. The area of a rectangle is given by the formula:

Area = Length x Breadth

In this case, the length of the park is 50 meters, and the breadth is 30 meters. Therefore, the area of the park is:

Area = 50 x 30 = 1500 square meters

Calculating the Area of the Walking Track

To find the area of the walking track, we need to find the area of the inner rectangle (the park without the walking track) and subtract it from the area of the outer rectangle (the park with the walking track).

Step 1: Find the Length and Breadth of the Inner Rectangle

The length of the inner rectangle is the length of the park minus two times the width of the walking track:

Length = 50 - 2 x 2 = 46 meters

The breadth of the inner rectangle is the breadth of the park minus two times the width of the walking track:

Breadth = 30 - 2 x 2 = 26 meters

Step 2: Find the Area of the Inner Rectangle

The area of the inner rectangle is given by the formula:

Area = Length x Breadth

In this case, the length of the inner rectangle is 46 meters, and the breadth is 26 meters. Therefore, the area of the inner rectangle is:

Area = 46 x 26 = 1196 square meters

Step 3: Find the Area of the Outer Rectangle

The area of the outer rectangle is given by the formula:

Area = Length x Breadth

In this case, the length of the outer rectangle is 50 meters, and the breadth is 30 meters. Therefore, the area of the outer rectangle is:

Area = 50 x 30 = 1500 square meters

Step 4: Find the Area of the Walking Track

The area of the walking track is the difference between the area of the outer rectangle and the area of the inner rectangle:

Area = 1500 - 1196 = 304 square meters

Conclusion

In this article, we have calculated the area of a rectangular park's walking track. The park is 50 meters long and 30 meters wide, and it has a walking track of width 2 meters all around the inside. We have used mathematical formulas to find the area of the walking track, which is 304 square meters.

Mathematical Formulas Used

Area = Length x Breadth
Length = 50 - 2 x 2 = 46 meters
Breadth = 30 - 2 x 2 = 26 meters
Area = 46 x 26 = 1196 square meters
Area = 50 x 30 = 1500 square meters
Area = 1500 - 1196 = 304 square meters

Real-World Applications

The concept of finding the area of a walking track within a rectangular park has real-world applications in various fields, such as:

Landscaping: When designing a park or a garden, it is essential to calculate the area of the walking track to determine the amount of materials needed for construction.
Architecture: Architects use mathematical formulas to calculate the area of various components of a building, including walking tracks.
Urban Planning: Urban planners use mathematical formulas to calculate the area of walking tracks and other infrastructure within a city or town.

Conclusion

Q: What is the formula for calculating the area of a rectangle?

A: The formula for calculating the area of a rectangle is:

Area = Length x Breadth

Q: How do I find the length and breadth of the inner rectangle?

A: To find the length and breadth of the inner rectangle, you need to subtract two times the width of the walking track from the length and breadth of the park.

Length = Length of the park - 2 x Width of the walking track Breadth = Breadth of the park - 2 x Width of the walking track

Q: What is the formula for calculating the area of the walking track?

A: The formula for calculating the area of the walking track is:

Area = Area of the outer rectangle - Area of the inner rectangle

Q: How do I calculate the area of the walking track if the park is not a perfect rectangle?

A: If the park is not a perfect rectangle, you can use the same formula to calculate the area of the walking track. However, you will need to use the actual dimensions of the park and the walking track.

Q: Can I use a calculator to calculate the area of the walking track?

A: Yes, you can use a calculator to calculate the area of the walking track. However, it is essential to understand the mathematical formulas and calculations involved to ensure accuracy.

Q: What are some real-world applications of calculating the area of a walking track?

A: Some real-world applications of calculating the area of a walking track include:

Landscaping: When designing a park or a garden, it is essential to calculate the area of the walking track to determine the amount of materials needed for construction.
Architecture: Architects use mathematical formulas to calculate the area of various components of a building, including walking tracks.
Urban Planning: Urban planners use mathematical formulas to calculate the area of walking tracks and other infrastructure within a city or town.

Q: Can I use this formula to calculate the area of a walking track in a park with a circular shape?

A: No, this formula is only applicable to rectangular parks. If the park has a circular shape, you will need to use a different formula to calculate the area of the walking track.

Q: How do I ensure accuracy when calculating the area of a walking track?

A: To ensure accuracy when calculating the area of a walking track, you should:

Use the correct dimensions: Use the actual dimensions of the park and the walking track.
Understand the mathematical formulas: Understand the mathematical formulas and calculations involved.
Use a calculator: Use a calculator to perform calculations and ensure accuracy.

Conclusion

In conclusion, calculating the area of a rectangular park's walking track is a mathematical problem that requires the use of formulas and calculations. By understanding the mathematical formulas and calculations involved, you can ensure accuracy and apply this concept to real-world applications.