The Length Of Rectangle Field Is 150 M If Its Perimeter Is 420 M Find Its Breadth​

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Introduction

In this article, we will delve into the world of geometry and explore the concept of a rectangle field. We will use mathematical formulas to find the breadth of a rectangle field given its length and perimeter. This problem is a classic example of a mathematical puzzle that requires critical thinking and problem-solving skills.

What is a Rectangle Field?

A rectangle field is a type of rectangular shape that is commonly used in agriculture, construction, and other fields. It is characterized by its length and breadth, which are the two dimensions that define its size and shape.

The Formula for the Perimeter of a Rectangle

The perimeter of a rectangle is the distance around its edges. It is calculated using the formula:

P = 2(l + b)

where P is the perimeter, l is the length, and b is the breadth.

Given Information

In this problem, we are given the length of the rectangle field as 150 meters and its perimeter as 420 meters. We need to find the breadth of the rectangle field.

Step 1: Substitute the Given Values into the Formula

We will substitute the given values into the formula for the perimeter of a rectangle:

420 = 2(150 + b)

Step 2: Simplify the Equation

We will simplify the equation by dividing both sides by 2:

210 = 150 + b

Step 3: Solve for the Breadth

We will solve for the breadth by subtracting 150 from both sides of the equation:

b = 60

Conclusion

In this article, we used mathematical formulas to find the breadth of a rectangle field given its length and perimeter. We substituted the given values into the formula for the perimeter of a rectangle, simplified the equation, and solved for the breadth. The final answer is 60 meters.

Real-World Applications

The concept of a rectangle field has many real-world applications. For example, in agriculture, farmers use rectangular fields to plant crops. In construction, builders use rectangular fields to lay out buildings and roads. In sports, athletes use rectangular fields to play games like soccer and football.

Tips and Tricks

Here are some tips and tricks to help you solve problems like this:

  • Always read the problem carefully and understand what is being asked.
  • Use mathematical formulas to solve problems.
  • Substitute given values into formulas and simplify equations.
  • Solve for unknown variables by isolating them on one side of the equation.

Frequently Asked Questions

Here are some frequently asked questions about the problem:

  • Q: What is the length of the rectangle field? A: The length of the rectangle field is 150 meters.
  • Q: What is the perimeter of the rectangle field? A: The perimeter of the rectangle field is 420 meters.
  • Q: What is the breadth of the rectangle field? A: The breadth of the rectangle field is 60 meters.

Conclusion

Introduction

In our previous article, we explored the concept of a rectangle field and used mathematical formulas to find the breadth of a rectangle field given its length and perimeter. In this article, we will answer some frequently asked questions about rectangle fields.

Q: What is a rectangle field?

A: A rectangle field is a type of rectangular shape that is commonly used in agriculture, construction, and other fields. It is characterized by its length and breadth, which are the two dimensions that define its size and shape.

Q: What is the formula for the perimeter of a rectangle?

A: The formula for the perimeter of a rectangle is:

P = 2(l + b)

where P is the perimeter, l is the length, and b is the breadth.

Q: How do I find the breadth of a rectangle field given its length and perimeter?

A: To find the breadth of a rectangle field given its length and perimeter, you can use the formula for the perimeter of a rectangle and substitute the given values into the formula. Then, simplify the equation and solve for the breadth.

Q: What are some real-world applications of rectangle fields?

A: Rectangle fields have many real-world applications. For example, in agriculture, farmers use rectangular fields to plant crops. In construction, builders use rectangular fields to lay out buildings and roads. In sports, athletes use rectangular fields to play games like soccer and football.

Q: How do I calculate the area of a rectangle field?

A: To calculate the area of a rectangle field, you can use the formula:

A = l × b

where A is the area, l is the length, and b is the breadth.

Q: What is the difference between a rectangle field and a square field?

A: A rectangle field is a type of rectangular shape, while a square field is a type of square shape. The main difference between the two is that a rectangle field has two pairs of equal sides, while a square field has four equal sides.

Q: Can I use a rectangle field for any purpose?

A: While rectangle fields are versatile and can be used for many purposes, there are some limitations. For example, a rectangle field may not be suitable for areas with steep slopes or uneven terrain.

Q: How do I design a rectangle field?

A: To design a rectangle field, you will need to consider several factors, including the length and breadth of the field, the type of crops or activities that will be taking place, and the terrain of the area. You may also need to consult with experts in agriculture, construction, or other relevant fields.

Q: What are some common mistakes to avoid when designing a rectangle field?

A: Some common mistakes to avoid when designing a rectangle field include:

  • Not considering the terrain of the area
  • Not taking into account the type of crops or activities that will be taking place
  • Not leaving enough space for access roads and other infrastructure
  • Not consulting with experts in relevant fields

Conclusion

In conclusion, rectangle fields are versatile and can be used for many purposes. However, it is essential to consider several factors when designing a rectangle field, including the length and breadth of the field, the type of crops or activities that will be taking place, and the terrain of the area. By following these tips and avoiding common mistakes, you can create a successful and productive rectangle field.

Additional Resources

For more information on rectangle fields, including design tips and real-world applications, check out the following resources:

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