The Perimeter Of A Rectangle With A Length Of 10 Cm And A Breadth Of 5 Cm Is:A. 605 Cm B. 275 Cm C. 55 Cm D. 30 Cm E. 15 Cm
Understanding the Concept of Perimeter
The perimeter of a rectangle is the total length of its boundary or the distance around it. It is calculated by adding the lengths of all four sides of the rectangle. In this article, we will calculate the perimeter of a rectangle with a length of 10 cm and a breadth of 5 cm.
Formula for Calculating Perimeter
The formula for calculating the perimeter of a rectangle is:
Perimeter = 2(Length + Breadth)
Where Length is the length of the rectangle and Breadth is the breadth of the rectangle.
Calculating the Perimeter
To calculate the perimeter of the given rectangle, we will substitute the values of length and breadth into the formula.
Length (L) = 10 cm Breadth (B) = 5 cm
Perimeter = 2(L + B) Perimeter = 2(10 + 5) Perimeter = 2(15) Perimeter = 30 cm
Conclusion
Therefore, the perimeter of the rectangle with a length of 10 cm and a breadth of 5 cm is 30 cm.
Comparison with the Given Options
Now, let's compare our calculated perimeter with the given options:
A. 605 cm B. 275 cm C. 55 cm D. 30 cm E. 15 cm
Our calculated perimeter, 30 cm, matches with option D.
Importance of Calculating Perimeter
Calculating the perimeter of a rectangle is an essential skill in mathematics, as it has numerous real-world applications. For instance, in architecture, engineers need to calculate the perimeter of buildings to determine the amount of materials required for construction. In interior design, calculating the perimeter of a room helps in determining the amount of flooring or wallpaper needed.
Real-World Applications of Perimeter
Perimeter has various real-world applications, including:
- Construction: Calculating the perimeter of buildings, roads, and other structures helps in determining the amount of materials required for construction.
- Interior Design: Calculating the perimeter of a room helps in determining the amount of flooring or wallpaper needed.
- Landscaping: Calculating the perimeter of a garden or a lawn helps in determining the amount of fencing or other materials required.
- Fashion: Calculating the perimeter of a garment helps in determining the amount of fabric required for production.
Conclusion
In conclusion, calculating the perimeter of a rectangle is an essential skill in mathematics, with numerous real-world applications. By understanding the concept of perimeter and using the correct formula, we can calculate the perimeter of any rectangle. In this article, we calculated the perimeter of a rectangle with a length of 10 cm and a breadth of 5 cm, which is 30 cm.
Frequently Asked Questions
- What is the perimeter of a rectangle? The perimeter of a rectangle is the total length of its boundary or the distance around it.
- How is the perimeter of a rectangle calculated? The perimeter of a rectangle is calculated by adding the lengths of all four sides of the rectangle using the formula: Perimeter = 2(Length + Breadth)
- What are the real-world applications of perimeter? Perimeter has various real-world applications, including construction, interior design, landscaping, and fashion.
References
- Mathematics Handbook: A comprehensive guide to mathematical concepts and formulas.
- Geometry Handbook: A guide to geometric concepts and formulas.
- Mathematics for Dummies: A beginner's guide to mathematics concepts and formulas.
Understanding the Concept of Perimeter
The perimeter of a rectangle is the total length of its boundary or the distance around it. It is calculated by adding the lengths of all four sides of the rectangle. In this article, we will answer some frequently asked questions about the perimeter of a rectangle.
Q&A
Q1: What is the perimeter of a rectangle?
A1: The perimeter of a rectangle is the total length of its boundary or the distance around it.
Q2: How is the perimeter of a rectangle calculated?
A2: The perimeter of a rectangle is calculated by adding the lengths of all four sides of the rectangle using the formula: Perimeter = 2(Length + Breadth)
Q3: What are the real-world applications of perimeter?
A3: Perimeter has various real-world applications, including construction, interior design, landscaping, and fashion.
Q4: How do I calculate the perimeter of a rectangle with a length of 10 cm and a breadth of 5 cm?
A4: To calculate the perimeter of the given rectangle, we will substitute the values of length and breadth into the formula.
Length (L) = 10 cm Breadth (B) = 5 cm
Perimeter = 2(L + B) Perimeter = 2(10 + 5) Perimeter = 2(15) Perimeter = 30 cm
Q5: What is the difference between the perimeter and the area of a rectangle?
A5: The perimeter of a rectangle is the total length of its boundary or the distance around it, while the area of a rectangle is the amount of space inside the rectangle.
Q6: How do I calculate the perimeter of a rectangle with a length of 20 cm and a breadth of 10 cm?
A6: To calculate the perimeter of the given rectangle, we will substitute the values of length and breadth into the formula.
Length (L) = 20 cm Breadth (B) = 10 cm
Perimeter = 2(L + B) Perimeter = 2(20 + 10) Perimeter = 2(30) Perimeter = 60 cm
Q7: What is the formula for calculating the perimeter of a rectangle?
A7: The formula for calculating the perimeter of a rectangle is: Perimeter = 2(Length + Breadth)
Q8: How do I calculate the perimeter of a rectangle with a length of 15 cm and a breadth of 8 cm?
A8: To calculate the perimeter of the given rectangle, we will substitute the values of length and breadth into the formula.
Length (L) = 15 cm Breadth (B) = 8 cm
Perimeter = 2(L + B) Perimeter = 2(15 + 8) Perimeter = 2(23) Perimeter = 46 cm
Q9: What is the perimeter of a rectangle with a length of 25 cm and a breadth of 12 cm?
A9: To calculate the perimeter of the given rectangle, we will substitute the values of length and breadth into the formula.
Length (L) = 25 cm Breadth (B) = 12 cm
Perimeter = 2(L + B) Perimeter = 2(25 + 12) Perimeter = 2(37) Perimeter = 74 cm
Q10: How do I calculate the perimeter of a rectangle with a length of 18 cm and a breadth of 9 cm?
A10: To calculate the perimeter of the given rectangle, we will substitute the values of length and breadth into the formula.
Length (L) = 18 cm Breadth (B) = 9 cm
Perimeter = 2(L + B) Perimeter = 2(18 + 9) Perimeter = 2(27) Perimeter = 54 cm
Conclusion
In conclusion, the perimeter of a rectangle is an essential concept in mathematics, with numerous real-world applications. By understanding the concept of perimeter and using the correct formula, we can calculate the perimeter of any rectangle. In this article, we answered some frequently asked questions about the perimeter of a rectangle.
Frequently Asked Questions
- What is the perimeter of a rectangle? The perimeter of a rectangle is the total length of its boundary or the distance around it.
- How is the perimeter of a rectangle calculated? The perimeter of a rectangle is calculated by adding the lengths of all four sides of the rectangle using the formula: Perimeter = 2(Length + Breadth)
- What are the real-world applications of perimeter? Perimeter has various real-world applications, including construction, interior design, landscaping, and fashion.
References
- Mathematics Handbook: A comprehensive guide to mathematical concepts and formulas.
- Geometry Handbook: A guide to geometric concepts and formulas.
- Mathematics for Dummies: A beginner's guide to mathematics concepts and formulas.