One Side Of A Square Garden Is 135 M What Is The Cost Of Fencing It At The Rate Of Rupees 0.40 Per Metre​

by ADMIN 106 views

Introduction

In this article, we will explore the concept of calculating the cost of fencing a square garden. We will use a real-world scenario to demonstrate how to apply mathematical formulas to solve a practical problem. The scenario involves a square garden with one side measuring 135 meters, and we need to calculate the cost of fencing it at a rate of rupees 0.40 per meter.

Understanding the Problem

To solve this problem, we need to understand the concept of perimeter and how it applies to a square garden. The perimeter of a square is the total distance around its boundary, which can be calculated by adding the lengths of all its sides. Since a square has four equal sides, we can calculate the perimeter by multiplying the length of one side by 4.

Calculating the Perimeter

Let's calculate the perimeter of the square garden:

  • Length of one side = 135 meters
  • Perimeter = 4 × length of one side
  • Perimeter = 4 × 135 meters
  • Perimeter = 540 meters

Calculating the Cost of Fencing

Now that we have the perimeter, we can calculate the cost of fencing the square garden. We are given the rate of rupees 0.40 per meter, so we can multiply the perimeter by this rate to get the total cost:

  • Rate of fencing = rupees 0.40 per meter
  • Total cost = perimeter × rate of fencing
  • Total cost = 540 meters × rupees 0.40 per meter
  • Total cost = rupees 216

Conclusion

In this article, we calculated the cost of fencing a square garden with one side measuring 135 meters at a rate of rupees 0.40 per meter. We used the concept of perimeter to calculate the total distance around the garden's boundary and then multiplied it by the rate of fencing to get the total cost. The result is a total cost of rupees 216.

Real-World Applications

This problem has real-world applications in various fields, such as:

  • Landscaping: Calculating the cost of fencing a garden or a park is essential for landscapers and gardeners to provide accurate quotes to their clients.
  • Construction: Builders and contractors need to calculate the cost of fencing a construction site to ensure they have enough budget for the project.
  • Agriculture: Farmers need to calculate the cost of fencing their fields to protect their crops from wildlife and other external factors.

Tips and Variations

Here are some tips and variations to consider when calculating the cost of fencing a square garden:

  • Irregular shapes: If the garden has an irregular shape, you may need to use more complex formulas to calculate the perimeter and cost of fencing.
  • Different rates: The rate of fencing may vary depending on the material used, location, and other factors. You may need to adjust the rate accordingly.
  • Additional costs: You may need to consider additional costs such as labor, equipment, and materials when calculating the total cost of fencing.

Frequently Asked Questions

Here are some frequently asked questions related to calculating the cost of fencing a square garden:

  • Q: What is the perimeter of a square garden with one side measuring 135 meters? A: The perimeter of a square garden with one side measuring 135 meters is 540 meters.
  • Q: How do I calculate the cost of fencing a square garden? A: To calculate the cost of fencing a square garden, you need to multiply the perimeter by the rate of fencing.
  • Q: What is the total cost of fencing a square garden with one side measuring 135 meters at a rate of rupees 0.40 per meter? A: The total cost of fencing a square garden with one side measuring 135 meters at a rate of rupees 0.40 per meter is rupees 216.
    Frequently Asked Questions (FAQs) about Calculating the Cost of Fencing a Square Garden =====================================================================================

Q: What is the perimeter of a square garden with one side measuring 135 meters?

A: The perimeter of a square garden with one side measuring 135 meters is 540 meters. This is calculated by multiplying the length of one side by 4.

Q: How do I calculate the cost of fencing a square garden?

A: To calculate the cost of fencing a square garden, you need to follow these steps:

  1. Calculate the perimeter of the square garden by multiplying the length of one side by 4.
  2. Multiply the perimeter by the rate of fencing to get the total cost.

Q: What is the total cost of fencing a square garden with one side measuring 135 meters at a rate of rupees 0.40 per meter?

A: The total cost of fencing a square garden with one side measuring 135 meters at a rate of rupees 0.40 per meter is rupees 216.

Q: How do I calculate the cost of fencing a square garden with an irregular shape?

A: If the garden has an irregular shape, you may need to use more complex formulas to calculate the perimeter and cost of fencing. You can use the formula for the perimeter of a polygon, which is the sum of the lengths of all its sides.

Q: What is the rate of fencing for a square garden with one side measuring 135 meters?

A: The rate of fencing for a square garden with one side measuring 135 meters is rupees 0.40 per meter.

Q: How do I calculate the cost of fencing a square garden with different rates?

A: If the rate of fencing varies depending on the material used, location, and other factors, you may need to adjust the rate accordingly. You can multiply the perimeter by the adjusted rate to get the total cost.

Q: What are some additional costs I need to consider when calculating the cost of fencing a square garden?

A: Some additional costs you may need to consider when calculating the cost of fencing a square garden include:

  • Labor costs
  • Equipment costs
  • Materials costs
  • Permits and licenses

Q: How do I calculate the cost of fencing a square garden with different shapes and sizes?

A: To calculate the cost of fencing a square garden with different shapes and sizes, you need to use the formula for the perimeter of a polygon, which is the sum of the lengths of all its sides. You can then multiply the perimeter by the rate of fencing to get the total cost.

Q: What are some real-world applications of calculating the cost of fencing a square garden?

A: Some real-world applications of calculating the cost of fencing a square garden include:

  • Landscaping
  • Construction
  • Agriculture

Q: How do I use the formula for the perimeter of a polygon to calculate the cost of fencing a square garden?

A: To use the formula for the perimeter of a polygon to calculate the cost of fencing a square garden, you need to follow these steps:

  1. Calculate the perimeter of the polygon by summing the lengths of all its sides.
  2. Multiply the perimeter by the rate of fencing to get the total cost.

Q: What are some tips and variations to consider when calculating the cost of fencing a square garden?

A: Some tips and variations to consider when calculating the cost of fencing a square garden include:

  • Using different rates for different materials
  • Considering additional costs such as labor, equipment, and materials
  • Using more complex formulas for irregular shapes
  • Adjusting the rate for different locations and factors