Important Question For Class 9 Maths (which Has Repeated Many Times In Kvs Examination) Can Someone Help Me...​

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Introduction

The Class 9 mathematics examination in KV (Kendriya Vidyalaya) schools is a crucial milestone for students, as it lays the foundation for their future academic success. However, with the increasing competition and pressure to perform well, students often find themselves struggling to cope with the demands of the examination. One such question that has been repeated multiple times in KV examinations is a crucial topic that requires a thorough understanding of mathematical concepts. In this article, we will delve into the details of this question and provide a comprehensive guide to help students prepare for it.

Understanding the Question

The question in question is a fundamental concept in mathematics that deals with the relationship between the area and perimeter of a rectangle. The question is as follows:

Question: A rectangular field has a length of 15 meters and a breadth of 8 meters. If the area of the field is increased by 20% and the breadth is increased by 10%, what is the new area of the field?

Breaking Down the Question

To solve this question, we need to break it down into smaller, manageable parts. Let's start by understanding the given information:

  • The length of the field is 15 meters.
  • The breadth of the field is 8 meters.
  • The area of the field is increased by 20%.
  • The breadth of the field is increased by 10%.

Calculating the New Area

To calculate the new area of the field, we need to first find the original area of the field. The formula for the area of a rectangle is:

Area = Length x Breadth

Substituting the given values, we get:

Area = 15 x 8 = 120 square meters

Now, let's calculate the new area of the field. We know that the area is increased by 20%, so we need to find 20% of the original area and add it to the original area.

20% of 120 = 0.20 x 120 = 24 square meters

Adding this to the original area, we get:

New Area = 120 + 24 = 144 square meters

Calculating the New Breadth

We are also given that the breadth of the field is increased by 10%. To find the new breadth, we need to calculate 10% of the original breadth and add it to the original breadth.

10% of 8 = 0.10 x 8 = 0.8 meters

Adding this to the original breadth, we get:

New Breadth = 8 + 0.8 = 8.8 meters

Calculating the New Length

Since the length of the field is not changed, the new length remains the same as the original length, which is 15 meters.

Calculating the New Area (Alternative Method)

Alternatively, we can calculate the new area by using the formula:

New Area = (Original Area + Increase in Area) / (Original Breadth + Increase in Breadth)

Substituting the values, we get:

New Area = (120 + 24) / (8 + 0.8) = 144 / 8.8 = 16.36 square meters

However, this method is not as straightforward as the first method, and it may lead to errors if not calculated carefully.

Conclusion

In conclusion, the question of increasing the area and breadth of a rectangle by a certain percentage is a fundamental concept in mathematics that requires a thorough understanding of mathematical concepts. By breaking down the question into smaller parts and using the correct formulas, we can calculate the new area of the field. We hope that this article has provided a comprehensive guide to help students prepare for this question and excel in their KV examination.

Frequently Asked Questions

  • What is the formula for the area of a rectangle? The formula for the area of a rectangle is: Area = Length x Breadth
  • How do I calculate the new area of a rectangle when the area is increased by a certain percentage? To calculate the new area, you need to find the increase in area and add it to the original area.
  • How do I calculate the new breadth of a rectangle when the breadth is increased by a certain percentage? To calculate the new breadth, you need to find the increase in breadth and add it to the original breadth.

Tips and Tricks

  • Make sure to read the question carefully and understand what is being asked.
  • Break down the question into smaller parts and use the correct formulas.
  • Use a calculator to check your calculations and avoid errors.
  • Practice, practice, practice! The more you practice, the better you will become at solving these types of questions.

Additional Resources

  • KV Examination Syllabus: Make sure to check the KV examination syllabus to understand the topics that will be covered in the examination.
  • Mathematics Textbook: Refer to your mathematics textbook to understand the concepts and formulas that are required to solve these types of questions.
  • Online Resources: There are many online resources available that can help you prepare for the KV examination, including practice questions, study materials, and online tutorials.

Final Thoughts

The question of increasing the area and breadth of a rectangle by a certain percentage is a fundamental concept in mathematics that requires a thorough understanding of mathematical concepts. By breaking down the question into smaller parts and using the correct formulas, we can calculate the new area of the field. We hope that this article has provided a comprehensive guide to help students prepare for this question and excel in their KV examination.

Introduction

The Class 9 mathematics examination in KV (Kendriya Vidyalaya) schools is a crucial milestone for students, as it lays the foundation for their future academic success. However, with the increasing competition and pressure to perform well, students often find themselves struggling to cope with the demands of the examination. In this article, we will address some of the frequently asked questions (FAQs) related to the repeated question in KV examination.

Q&A

Q1: What is the formula for the area of a rectangle?

A1: The formula for the area of a rectangle is: Area = Length x Breadth

Q2: How do I calculate the new area of a rectangle when the area is increased by a certain percentage?

A2: To calculate the new area, you need to find the increase in area and add it to the original area. The formula for this is: New Area = (Original Area + Increase in Area)

Q3: How do I calculate the new breadth of a rectangle when the breadth is increased by a certain percentage?

A3: To calculate the new breadth, you need to find the increase in breadth and add it to the original breadth. The formula for this is: New Breadth = (Original Breadth + Increase in Breadth)

Q4: What is the difference between the original area and the new area?

A4: The difference between the original area and the new area is the increase in area. This can be calculated by subtracting the original area from the new area.

Q5: How do I calculate the increase in area when the area is increased by a certain percentage?

A5: To calculate the increase in area, you need to find the percentage increase and multiply it by the original area. The formula for this is: Increase in Area = (Percentage Increase x Original Area)

Q6: How do I calculate the increase in breadth when the breadth is increased by a certain percentage?

A6: To calculate the increase in breadth, you need to find the percentage increase and multiply it by the original breadth. The formula for this is: Increase in Breadth = (Percentage Increase x Original Breadth)

Q7: What is the relationship between the original area and the new area?

A7: The original area and the new area are related by the formula: New Area = (Original Area + Increase in Area)

Q8: How do I calculate the percentage increase in area?

A8: To calculate the percentage increase in area, you need to divide the increase in area by the original area and multiply by 100. The formula for this is: Percentage Increase = (Increase in Area / Original Area) x 100

Q9: How do I calculate the percentage increase in breadth?

A9: To calculate the percentage increase in breadth, you need to divide the increase in breadth by the original breadth and multiply by 100. The formula for this is: Percentage Increase = (Increase in Breadth / Original Breadth) x 100

Q10: What is the significance of the repeated question in KV examination?

A10: The repeated question in KV examination is a crucial topic that requires a thorough understanding of mathematical concepts. By mastering this topic, students can improve their chances of success in the examination.

Tips and Tricks

  • Make sure to read the question carefully and understand what is being asked.
  • Break down the question into smaller parts and use the correct formulas.
  • Use a calculator to check your calculations and avoid errors.
  • Practice, practice, practice! The more you practice, the better you will become at solving these types of questions.

Additional Resources

  • KV Examination Syllabus: Make sure to check the KV examination syllabus to understand the topics that will be covered in the examination.
  • Mathematics Textbook: Refer to your mathematics textbook to understand the concepts and formulas that are required to solve these types of questions.
  • Online Resources: There are many online resources available that can help you prepare for the KV examination, including practice questions, study materials, and online tutorials.

Final Thoughts

The repeated question in KV examination is a fundamental concept in mathematics that requires a thorough understanding of mathematical concepts. By mastering this topic, students can improve their chances of success in the examination. We hope that this article has provided a comprehensive guide to help students prepare for this question and excel in their KV examination.