CBSE Class 4 Mathematics Chapter 13: Fields and Fences NCERT Solutions

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NCERT Solutions PDF Class 4 PDF

This chapter, Fields and Fences, for CBSE Class 4 Mathematics, introduces students to the concept of perimeter in a practical context. The NCERT Solutions focus on calculating the length of the boundary of different fields. Students will learn to add the lengths of all sides of a given shape to find its perimeter. The problems involve real-life scenarios like fencing fields, which helps in understanding how mathematical concepts apply to everyday situations. These solutions provide step-by-step guidance, making it easier for students to grasp the method of calculating perimeters and determining the amount of fencing material required. Practicing these problems will enhance problem-solving skills and reinforce the understanding of basic geometry, crucial for exam preparation.

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Quick info

BoardCBSE
ClassClass 4
SubjectMathematics
Session2026
LanguageEnglish
TypeNCERT Solutions
ChapterChapter 13

Chapter summary

Chapter 13, Fields and Fences, for Class 4 Mathematics NCERT Solutions, covers the fundamental concept of perimeter. The exercises guide students through calculating the boundary length of rectangular and irregular fields by summing the lengths of their sides. It also includes practical applications such as determining the amount of wire needed for fencing and calculating leftover wire. These solutions aim to build a strong foundation in perimeter calculations through relatable examples.

Learning outcomes

  • Understand the concept of the boundary length of a field.
  • Calculate the perimeter of a field by adding the lengths of its sides.
  • Determine the amount of wire needed for fencing a field.
  • Calculate the remaining length of wire after fencing.
  • Apply perimeter concepts to real-world scenarios.

Topics covered

Paper topics

  • Perimeter of a field
  • Calculating boundary length
  • Fencing a field
  • Wire length calculation
  • Subtraction of lengths
  • Addition of lengths
  • Real-world application of perimeter

Important topics

  • Calculating the boundary length of irregular fields
  • Determining the amount of wire needed for fencing
  • Understanding the concept of perimeter through practical examples

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Questions and Solutions

Question 1

Rahmat needs to find the length of the boundary of his field. Can you find it from this picture? See the length of each side written near it. Rahmat bought a roll of 70 m wire for the fence. How much wire did Rahmat give to Ganpat?
Solution:

To find the length of the boundary of Rahmat's field, we need to add the lengths of all its sides. The lengths of the sides are given as 9 m, 15 m, 21 m, and 9 m.

Length of the boundary = 9 \text{ m} + 15 \text{ m} + 21 \text{ m} + 9 \text{ m}

Adding these lengths: 9 + 15 = 24; 24 + 21 = 45; 45 + 9 = 54.

So, the length of the boundary of Rahmat's field is 54 \text{ m}.

Rahmat bought a total of 70 m of wire for fencing.

He used 54 m of wire to fence his field.

To find out how much wire Rahmat gave to Ganpat, we subtract the wire used from the total wire bought:

Wire given to Ganpat = Total wire bought - Wire used for Rahmat's field

Wire given to Ganpat = 70 \text{ m} - 54 \text{ m}

Calculation: 70 - 54 = 16.

Therefore, Rahmat gave 16 \text{ m} of wire to Ganpat.

Question 1

Ganpat thanked Rahmat and started fencing his own field. But he needed to get more wire. How long is the boundary of Ganpat's field? How much more wire will Ganpat need for his field?
Solution:

First, let's find the length of the boundary of Ganpat's field. The lengths of the sides of Ganpat's field are given as 15 m, 15 m, 9 m, 18 m, and 9 m.

Length of Ganpat's field boundary = 15 \text{ m} + 15 \text{ m} + 9 \text{ m} + 18 \text{ m} + 9 \text{ m}

Adding these lengths: 15 + 15 = 30; 30 + 9 = 39; 39 + 18 = 57; 57 + 9 = 66.

So, the total length of the boundary of Ganpat's field is 66 \text{ m}.

Rahmat gave 16 \text{ m} of wire to Ganpat.

To find out how much more wire Ganpat needs, we subtract the wire he received from Rahmat from the total boundary length of his field.

Additional wire needed = Total boundary length - Wire received from Rahmat

Additional wire needed = 66 \text{ m} - 16 \text{ m}

Calculation: 66 - 16 = 50.

Therefore, Ganpat will need 50 \text{ m} more wire for his field.

Common mistakes

  • Incorrectly adding the lengths of the sides.
  • Forgetting to include all sides when calculating the boundary length.
  • Errors in subtraction when calculating remaining wire.
  • Confusing perimeter with area.

Revision tips

  • Draw the fields yourself to visualize the sides that need to be measured.
  • Practice adding the lengths of multiple sides carefully.
  • Relate the problems to real-life situations like fencing a garden.
  • Double-check your calculations for both addition and subtraction.

Practice MCQs

Q1. What is the length of the boundary of Rahmat's field?

Q2. How much wire did Rahmat buy for fencing?

Q3. How much wire was left with Rahmat after fencing his field?

Q4. What is the length of the boundary of Ganpat's field?

Q5. How much more wire does Ganpat need for his field, given he received 16m from Rahmat?

Frequently asked questions

What is the main concept covered in Chapter 13, Fields and Fences for Class 4 Maths?

The main concept is understanding and calculating the perimeter, which is the length of the boundary of a field or any closed shape.

How do these NCERT Solutions help students?

These solutions provide clear, step-by-step explanations for each problem, helping students understand how to calculate boundaries and wire needed for fencing, which aids in exam revision.

What is the formula used to find the boundary length in these problems?

The boundary length (perimeter) is found by adding the lengths of all the sides of the field.

How is the amount of wire needed for fencing calculated?

The amount of wire needed is equal to the boundary length of the field. If some wire is already available, it is subtracted from the total boundary length to find the additional wire required.

Are the questions in this chapter related to real life?

Yes, the questions are based on practical scenarios like fencing fields, which helps students relate mathematical concepts to everyday situations.

Important links

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