Find The Cost Of Fencing A Square Park With A Side Length Of 250 Meters At The Rate Of ₹ 20 ₹ 20 ₹20 Per Meter.
Introduction
In this article, we will calculate the cost of fencing a square park with a side length of 250 meters at the rate of per meter. This problem involves basic geometry and arithmetic operations. We will use the formula for the perimeter of a square to find the total length of fencing required and then multiply it by the cost per meter to get the total cost.
Understanding the Problem
To solve this problem, we need to understand the concept of perimeter and how it applies to a square. The perimeter of a square is the total length of its boundary, which is the sum of the lengths of all its sides. Since a square has four equal sides, we can find the perimeter by multiplying the length of one side by 4.
Calculating the Perimeter
The side length of the square park is given as 250 meters. To find the perimeter, we multiply the side length by 4:
Perimeter = 4 × side length = 4 × 250 = 1000 meters
Calculating the Cost
Now that we have the perimeter, we can find the total cost of fencing by multiplying the perimeter by the cost per meter:
Cost = Perimeter × cost per meter = 1000 × $₹ 20 = $₹ 20,000
Conclusion
In this article, we calculated the cost of fencing a square park with a side length of 250 meters at the rate of per meter. We used the formula for the perimeter of a square to find the total length of fencing required and then multiplied it by the cost per meter to get the total cost. The total cost of fencing the square park is $₹ 20,000.
Real-World Applications
This problem has real-world applications in various fields such as construction, architecture, and engineering. For example, when building a fence around a square-shaped garden or a park, the perimeter of the square is used to determine the total length of fencing required. Similarly, in construction projects, the perimeter of a building or a structure is used to calculate the total length of fencing or other materials required.
Tips and Variations
Here are some tips and variations to this problem:
- Different shapes: Instead of a square, consider a rectangle or a triangle. How would the perimeter formula change?
- Different costs: What if the cost per meter varies depending on the location or the type of fencing material used?
- Multiple fences: What if there are multiple fences around the square park, each with a different cost per meter?
Practice Problems
Here are some practice problems to help you reinforce your understanding of the concept:
- Find the perimeter of a square with a side length of 300 meters.
- Calculate the cost of fencing a square park with a side length of 200 meters at the rate of per meter.
- Find the perimeter of a rectangle with a length of 400 meters and a width of 200 meters.
Conclusion
Introduction
In our previous article, we calculated the cost of fencing a square park with a side length of 250 meters at the rate of per meter. In this article, we will address some common questions and concerns related to fencing a square park.
Q: What is the perimeter of a square?
A: The perimeter of a square is the total length of its boundary, which is the sum of the lengths of all its sides. Since a square has four equal sides, we can find the perimeter by multiplying the length of one side by 4.
Q: How do I calculate the perimeter of a square?
A: To calculate the perimeter of a square, you need to multiply the length of one side by 4. For example, if the side length of a square is 250 meters, the perimeter would be:
Perimeter = 4 × side length = 4 × 250 = 1000 meters
Q: What if the square park has a different shape?
A: If the square park has a different shape, such as a rectangle or a triangle, the perimeter formula would change. For a rectangle, the perimeter would be the sum of the lengths of all its sides, while for a triangle, the perimeter would be the sum of the lengths of its three sides.
Q: How do I calculate the cost of fencing a square park?
A: To calculate the cost of fencing a square park, you need to multiply the perimeter of the square by the cost per meter. For example, if the perimeter of a square park is 1000 meters and the cost per meter is , the total cost would be:
Cost = Perimeter × cost per meter = 1000 × $₹ 20 = $₹ 20,000
Q: What if the cost per meter varies depending on the location or the type of fencing material used?
A: If the cost per meter varies depending on the location or the type of fencing material used, you would need to adjust the cost per meter accordingly. For example, if the cost per meter is in one location and in another, you would need to use the higher cost per meter to calculate the total cost.
Q: Can I use different types of fencing materials?
A: Yes, you can use different types of fencing materials, such as wood, metal, or vinyl. Each type of material has its own cost per meter, so you would need to adjust the cost per meter accordingly.
Q: How do I calculate the cost of fencing a square park with multiple fences?
A: To calculate the cost of fencing a square park with multiple fences, you would need to calculate the perimeter of each fence and then multiply it by the cost per meter. For example, if there are two fences around a square park, each with a perimeter of 1000 meters and a cost per meter of , the total cost would be:
Cost = (Perimeter of fence 1 + Perimeter of fence 2) × cost per meter = (1000 + 1000) × $₹ 20 = $₹ 40,000
Conclusion
In conclusion, fencing a square park involves basic geometry and arithmetic operations. By understanding the concept of perimeter and how to calculate it, you can determine the total length of fencing required and then multiply it by the cost per meter to get the total cost. This article has addressed some common questions and concerns related to fencing a square park, and we hope it has been helpful in clarifying any doubts you may have had.