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title: "Perimeter and Area"
board: "CBSE"
curriculum: "CBSE"
class: "Class 6"
subject: "Mathematics"
book: "Ganita Prakash"
chapter: "Perimeter and Area"
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---

# Perimeter and Area
The chapter focuses on understanding and calculating the perimeter and area of various geometric figures, including rectangles, squares, and triangles. It provides foundational knowledge applicable to real-life scenarios.

---

## Knowledge Snapshot

| Field | Details |
| :--- | :--- |
| Class | Class 6 |
| Subject | Mathematics |
| Book | Ganita Prakash |
| Chapter | Perimeter and Area |
| Pages | 129-150 |

---

## Chapter Summary

### Short Summary
This chapter introduces the concept of perimeter, explaining how to compute it for different shapes, including rectangles, squares, and triangles, and gives practical examples.

### Detailed Summary
The chapter begins with the definition of perimeter as the total distance around a closed figure. For polygons, it is calculated by summing the lengths of all sides. The formulas for calculating the perimeter of rectangles (perimeter = 2 × (length + breadth)), squares (perimeter = 4 × length of a side), and triangles (perimeter = sum of lengths of three sides) are illustrated with examples. The chapter also includes practical applications and exercises to reinforce these concepts.

---

## Topic-Wise Explanation

### Perimeter – Understanding and Calculation
The perimeter of any closed plane figure is the total distance around the figure. For polygons, it is calculated by adding the lengths of all sides together.

### Perimeter of a Rectangle
The perimeter of a rectangle is calculated as twice the sum of its length and breadth: Perimeter = 2 × (length + breadth). For example, a rectangle with a length of 12 cm and a breadth of 8 cm has a perimeter of 40 cm.

### Perimeter of a Square
The perimeter of a square is four times the length of one side: Perimeter = 4 × length of side. For a square with a side of 1 m, the perimeter is 4 m.

### Perimeter of a Triangle
The perimeter of a triangle is the sum of its three sides. For a triangle with sides measuring 4 cm, 5 cm, and 7 cm, the perimeter is 16 cm.

### Perimeter of Regular Polygons
Regular polygons have all sides and angles equal, and their perimeter is calculated as number of sides × length of one side.

### Area – Key Concepts
Area measures the space inside a shape. It can be calculated using specific formulas for different geometrical shapes but is not detailed in this chapter.

### Area of a Triangle
While the specific methods to calculate the area of triangles are not provided, the chapter mentions the importance of area concepts in practical applications.

### Real-life Applications of Perimeter and Area
The chapter includes examples of how to apply the concepts of perimeter and area to real-world situations, such as fencing a field or covering an object with tape.

---

## Core Ideas

| Idea | Explanation |
| :--- | :--- |
| Perimeter | The total distance around a closed figure. |
| Area | The space within a figure (further concepts are noted but not detailed). |

---

## Key Concepts

| Concept | Meaning |
| :--- | :--- |
| Perimeter of a Rectangle | $2 × (length + breadth)$ |
| Perimeter of a Square | $4 × length$ |
| Perimeter of a Triangle | $sum of sides$ |

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## Important Points for Revision

* Perimeter is the distance around a figure.
* The perimeter of a rectangle is calculated as $2 × (length + breadth)$.
* The perimeter of a square is $4$ times the length of one side.
* The perimeter of a triangle is the sum of the lengths of all its sides.
* Understanding perimeter helps in practical applications such as fencing and wrapping.
* Each shape’s perimeter can be visualized through real-world examples.

---

## Practice Questions

### Short Answer Questions
1. What is the perimeter of a rectangle with length 10 m and breadth 5 m?
2. Calculate the perimeter of a square with a side length of 2 m.
3. If a triangle has sides of 3 cm, 4 cm, and 5 cm, what is its perimeter?
4. Find the perimeter of a rectangular table cover that is 2 m long and 1 m wide.
5. What is the perimeter of a square park with each side measuring 80 m?

### Long Answer Questions
1. Calculate the total distance travelled if a person makes three rounds around a square park with each side of 50 m.
2. A rectangular field has a length of 120 m and a breadth of 80 m. What is the cost of fencing it if the fencing costs Rs.25 per meter?
3. How many meters of tape are required to cover a square photo frame with each side of 1.5 m?
4. If you have a piece of wire 72 cm long, can you form a triangle with sides measuring 25 cm, 25 cm, and 22 cm?

---

## Source Attribution

| Field | Value |
| :--- | :--- |
| Source | Edzy |
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