The Perimeter Of A Rectangle Is 18 Cm Its Breadth Is 2 Cm What Will Be Its Length​

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Introduction

In mathematics, the perimeter of a rectangle is a fundamental concept that is used to calculate the total distance around the shape. It is an essential aspect of geometry and is used in various real-world applications, such as architecture, engineering, and design. In this article, we will delve into the concept of the perimeter of a rectangle and explore how to calculate it using a given set of values.

What is the Perimeter of a Rectangle?

The perimeter of a rectangle is the total distance around the shape, which is calculated by adding the lengths of all its sides. It is denoted by the symbol 'P' and is measured in units such as centimeters, meters, or inches. The formula for calculating the perimeter of a rectangle is:

P = 2(l + b)

where 'l' is the length and 'b' is the breadth of the rectangle.

Given Values

In this problem, we are given that the perimeter of the rectangle is 18 cm and the breadth is 2 cm. We need to find the length of the rectangle.

Step 1: Write Down the Formula

The formula for calculating the perimeter of a rectangle is:

P = 2(l + b)

Step 2: Substitute the Given Values

We are given that the perimeter (P) is 18 cm and the breadth (b) is 2 cm. We can substitute these values into the formula:

18 = 2(l + 2)

Step 3: Simplify the Equation

To simplify the equation, we can start by dividing both sides by 2:

9 = l + 2

Step 4: Solve for the Length

To solve for the length (l), we can subtract 2 from both sides of the equation:

l = 9 - 2 l = 7

Conclusion

Therefore, the length of the rectangle is 7 cm.

Real-World Applications

The concept of the perimeter of a rectangle has numerous real-world applications, such as:

  • Architecture: Architects use the perimeter of a rectangle to calculate the total distance around a building or a room.
  • Engineering: Engineers use the perimeter of a rectangle to calculate the total distance around a machine or a structure.
  • Design: Designers use the perimeter of a rectangle to calculate the total distance around a product or a package.

Tips and Tricks

Here are some tips and tricks to help you calculate the perimeter of a rectangle:

  • Use the formula: The formula for calculating the perimeter of a rectangle is P = 2(l + b).
  • Substitute the given values: Substitute the given values into the formula and simplify the equation.
  • Solve for the length: Solve for the length (l) by subtracting the breadth (b) from both sides of the equation.

Practice Problems

Here are some practice problems to help you practice calculating the perimeter of a rectangle:

  • Problem 1: The perimeter of a rectangle is 20 cm and the breadth is 3 cm. What is the length of the rectangle?
  • Problem 2: The perimeter of a rectangle is 15 cm and the breadth is 2 cm. What is the length of the rectangle?
  • Problem 3: The perimeter of a rectangle is 25 cm and the breadth is 4 cm. What is the length of the rectangle?

Conclusion

In conclusion, the perimeter of a rectangle is a fundamental concept in mathematics that is used to calculate the total distance around the shape. By using the formula P = 2(l + b) and substituting the given values, we can calculate the length of the rectangle. The concept of the perimeter of a rectangle has numerous real-world applications, such as architecture, engineering, and design. By practicing the tips and tricks and solving the practice problems, you can become proficient in calculating the perimeter of a rectangle.

Introduction

In our previous article, we explored the concept of the perimeter of a rectangle and how to calculate it using a given set of values. In this article, we will provide a Q&A guide to help you understand the concept of the perimeter of a rectangle and how to apply it in real-world situations.

Q&A Guide

Q1: What is the perimeter of a rectangle?

A1: The perimeter of a rectangle is the total distance around the shape, which is calculated by adding the lengths of all its sides.

Q2: What is the formula for calculating the perimeter of a rectangle?

A2: The formula for calculating the perimeter of a rectangle is P = 2(l + b), where 'l' is the length and 'b' is the breadth of the rectangle.

Q3: How do I calculate the length of a rectangle if I know the perimeter and the breadth?

A3: To calculate the length of a rectangle, you can use the formula P = 2(l + b) and substitute the given values. Then, solve for the length (l) by subtracting the breadth (b) from both sides of the equation.

Q4: What are some real-world applications of the perimeter of a rectangle?

A4: The concept of the perimeter of a rectangle has numerous real-world applications, such as architecture, engineering, and design. Architects use the perimeter of a rectangle to calculate the total distance around a building or a room, while engineers use it to calculate the total distance around a machine or a structure.

Q5: How do I calculate the perimeter of a rectangle if I know the length and the breadth?

A5: To calculate the perimeter of a rectangle, you can use the formula P = 2(l + b) and substitute the given values. Then, simplify the equation and solve for the perimeter (P).

Q6: What is the difference between the perimeter and the area of a rectangle?

A6: The perimeter of a rectangle is the total distance around the shape, while the area of a rectangle is the total amount of space inside the shape. The formula for calculating the area of a rectangle is A = l × b.

Q7: How do I calculate the area of a rectangle if I know the perimeter and the breadth?

A7: To calculate the area of a rectangle, you can use the formula A = l × b and substitute the given values. Then, solve for the area (A) by dividing both sides of the equation by the breadth (b).

Q8: What are some tips and tricks for calculating the perimeter of a rectangle?

A8: Here are some tips and tricks to help you calculate the perimeter of a rectangle:

  • Use the formula P = 2(l + b) to calculate the perimeter.
  • Substitute the given values into the formula and simplify the equation.
  • Solve for the length (l) by subtracting the breadth (b) from both sides of the equation.
  • Practice, practice, practice!

Practice Problems

Here are some practice problems to help you practice calculating the perimeter of a rectangle:

  • Problem 1: The perimeter of a rectangle is 20 cm and the breadth is 3 cm. What is the length of the rectangle?
  • Problem 2: The perimeter of a rectangle is 15 cm and the breadth is 2 cm. What is the length of the rectangle?
  • Problem 3: The perimeter of a rectangle is 25 cm and the breadth is 4 cm. What is the length of the rectangle?

Conclusion

In conclusion, the perimeter of a rectangle is a fundamental concept in mathematics that is used to calculate the total distance around the shape. By using the formula P = 2(l + b) and substituting the given values, we can calculate the length of the rectangle. The concept of the perimeter of a rectangle has numerous real-world applications, such as architecture, engineering, and design. By practicing the tips and tricks and solving the practice problems, you can become proficient in calculating the perimeter of a rectangle.

Additional Resources

Here are some additional resources to help you learn more about the perimeter of a rectangle:

  • Math textbooks: Check out math textbooks for more information on the perimeter of a rectangle.
  • Online resources: Visit online resources such as Khan Academy, Mathway, and Wolfram Alpha for more information on the perimeter of a rectangle.
  • Practice problems: Practice problems are available online and in math textbooks to help you practice calculating the perimeter of a rectangle.

Final Thoughts

In conclusion, the perimeter of a rectangle is a fundamental concept in mathematics that is used to calculate the total distance around the shape. By using the formula P = 2(l + b) and substituting the given values, we can calculate the length of the rectangle. The concept of the perimeter of a rectangle has numerous real-world applications, such as architecture, engineering, and design. By practicing the tips and tricks and solving the practice problems, you can become proficient in calculating the perimeter of a rectangle.