Understanding the 8th Question

Oct 13, 2025 by sorusgentrification.com 137 views

Introduction

The CBSE Maths NCERT textbook is a comprehensive guide for students studying mathematics in the 8th standard. The textbook is designed to provide a thorough understanding of mathematical concepts and their applications. The 8th question of the CBSE Maths NCERT textbook is a crucial topic that requires a deep understanding of mathematical concepts. In this article, we will provide a comprehensive analysis of the 8th question of the CBSE Maths NCERT textbook.

Understanding the 8th Question

The 8th question of the CBSE Maths NCERT textbook is a multiple-choice question that requires students to apply mathematical concepts to solve a problem. The question is as follows:

Question 8: A rectangular park is 20 m long and 15 m wide. A path which is 2 m wide is built inside the park. Find the area of the path.

Breaking Down the Question

To solve the 8th question of the CBSE Maths NCERT textbook, students need to break down the problem into smaller, manageable parts. The first step is to find the area of the rectangular park. The formula for the area of a rectangle is length x width. In this case, the length of the park is 20 m and the width is 15 m.

Area of the park = length x width Area of the park = 20 x 15 Area of the park = 300 m^2

Finding the Area of the Path

The next step is to find the area of the path. The path is 2 m wide and is built inside the park. To find the area of the path, students need to find the area of the smaller rectangle that is formed by the path. The length of the smaller rectangle is 20 m - 2 m - 2 m = 16 m, and the width is 15 m - 2 m - 2 m = 11 m.

Area of the path = length x width Area of the path = 16 x 11 Area of the path = 176 m^2

Finding the Area of the Remaining Part

The remaining part of the park is the area that is not covered by the path. To find the area of the remaining part, students need to subtract the area of the path from the area of the park.

Area of the remaining part = Area of the park - Area of the path Area of the remaining part = 300 - 176 Area of the remaining part = 124 m^2

Conclusion

The 8th question of the CBSE Maths NCERT textbook requires students to apply mathematical concepts to solve a problem. The question involves finding the area of a rectangular park and a path that is built inside the park. Students need to break down the problem into smaller, manageable parts and apply mathematical formulas to solve the problem. The area of the path is 176 m^2, and the area of the remaining part is 124 m^2.

Key Takeaways

The area of a rectangle is length x width.
The area of a smaller rectangle is length x width.
To find the area of the remaining part, subtract the area of the path from the area of the park.

Practice Questions

A rectangular park is 25 m long and 20 m wide. A path which is 3 m wide is built inside the park. Find the area of the path.
A rectangular park is 30 m long and 25 m wide. A path which is 4 m wide is built inside the park. Find the area of the path.

Solutions

A rectangular park is 25 m long and 20 m wide. A path which is 3 m wide is built inside the park. Find the area of the path. Area of the park = length x width Area of the park = 25 x 20 Area of the park = 500 m^2 Area of the path = length x width Area of the path = 23 x 17 Area of the path = 391 m^2 Area of the remaining part = Area of the park - Area of the path Area of the remaining part = 500 - 391 Area of the remaining part = 109 m^2
A rectangular park is 30 m long and 25 m wide. A path which is 4 m wide is built inside the park. Find the area of the path. Area of the park = length x width Area of the park = 30 x 25 Area of the park = 750 m^2 Area of the path = length x width Area of the path = 26 x 21 Area of the path = 546 m^2 Area of the remaining part = Area of the park - Area of the path Area of the remaining part = 750 - 546 Area of the remaining part = 204 m^2

Conclusion

Introduction

The CBSE Maths NCERT textbook is a comprehensive guide for students studying mathematics in the 8th standard. The textbook is designed to provide a thorough understanding of mathematical concepts and their applications. The 8th question of the CBSE Maths NCERT textbook is a crucial topic that requires a deep understanding of mathematical concepts. In this article, we will provide a Q&A section to help students understand the 8th question of the CBSE Maths NCERT textbook.

Q&A Section

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

A1: The formula for finding the area of a rectangle is length x width.

Q2: How do I find the area of the path in the 8th question of the CBSE Maths NCERT textbook?

A2: To find the area of the path, you need to find the area of the smaller rectangle that is formed by the path. The length of the smaller rectangle is the length of the park minus the width of the path, and the width of the smaller rectangle is the width of the park minus the width of the path.

Q3: What is the area of the remaining part in the 8th question of the CBSE Maths NCERT textbook?

A3: The area of the remaining part is the area of the park minus the area of the path.

Q4: How do I find the area of the remaining part in the 8th question of the CBSE Maths NCERT textbook?

A4: To find the area of the remaining part, you need to subtract the area of the path from the area of the park.

Q5: What is the formula for finding the area of a smaller rectangle?

A5: The formula for finding the area of a smaller rectangle is length x width.

Q6: How do I find the length of the smaller rectangle in the 8th question of the CBSE Maths NCERT textbook?

A6: To find the length of the smaller rectangle, you need to subtract the width of the path from the length of the park.

Q7: How do I find the width of the smaller rectangle in the 8th question of the CBSE Maths NCERT textbook?

A7: To find the width of the smaller rectangle, you need to subtract the width of the path from the width of the park.

Q8: What is the area of the path in the 8th question of the CBSE Maths NCERT textbook?

A8: The area of the path is 176 m^2.

Q9: What is the area of the remaining part in the 8th question of the CBSE Maths NCERT textbook?

A9: The area of the remaining part is 124 m^2.

Q10: How do I apply the formulas to solve the 8th question of the CBSE Maths NCERT textbook?

A10: To apply the formulas, you need to follow the steps outlined in the solution to the 8th question of the CBSE Maths NCERT textbook.

Conclusion

The Q&A section of this article provides a comprehensive guide to help students understand the 8th question of the CBSE Maths NCERT textbook. The questions and answers cover various aspects of the 8th question, including the formula for finding the area of a rectangle, the area of the path, and the area of the remaining part. By following the steps outlined in the solution and applying the formulas, students can solve the 8th question of the CBSE Maths NCERT textbook with ease.

Practice Questions

A rectangular park is 25 m long and 20 m wide. A path which is 3 m wide is built inside the park. Find the area of the path.
A rectangular park is 30 m long and 25 m wide. A path which is 4 m wide is built inside the park. Find the area of the path.

Solutions

A rectangular park is 25 m long and 20 m wide. A path which is 3 m wide is built inside the park. Find the area of the path. Area of the park = length x width Area of the park = 25 x 20 Area of the park = 500 m^2 Area of the path = length x width Area of the path = 22 x 17 Area of the path = 374 m^2 Area of the remaining part = Area of the park - Area of the path Area of the remaining part = 500 - 374 Area of the remaining part = 126 m^2
A rectangular park is 30 m long and 25 m wide. A path which is 4 m wide is built inside the park. Find the area of the path. Area of the park = length x width Area of the park = 30 x 25 Area of the park = 750 m^2 Area of the path = length x width Area of the path = 26 x 21 Area of the path = 546 m^2 Area of the remaining part = Area of the park - Area of the path Area of the remaining part = 750 - 546 Area of the remaining part = 204 m^2