# Cl-5 (Math) | Ch-22 | Area

## Pre-Requisites

• Basic knowledge on triangle , square, circle , rectangle and bounded figures.

## Learning Objective

On successful completion of this lesson, students will be able to:

• demonstrate basic knowledge on area of bounded figures.
• analyze the bounded figures and their area.
• develop problem-solving skills.
• apply in real life.

## Dictionary

• Area: Bounded Surface
• Picture: Figure
• Graph: Grapgh or Sketch
• Percentage: %age
• Average: Mean
• Numeral: Number
• >: Greater than
• <: Lesser than
• =: Equal to
• Ascending: Increasing
• Descending: Decreasing
• Order: Sequence

### 22.1 Introduction

#### 22.1.1 Figure

=> Figure: Picture that we draw on a piece of paper is called a figure.

e.g:

=> Bounded figure: Closed figure is called a bounded figure.

e.g:

#### 22.1.2 Area

=> Area: The measure of the amount of surface enclosed by a closed figure is called its area.

e.g1: Rectangle , Square , Triangle , Polygon, Circle etc.

#### 22.1.3 Comparison of areas

=> Similar figures: Area Size

=> Different figures: Find areas of the both figures and compare by their values of the areas i.e Area Value

#### 22.1.4 Unit of Area

1.Square metre: Let’s a square having 1 metre of each side.

=> Area = 1 square metre or 1 sq.m or 1 m².

2. Square centimetre: Let’s a square having 1 centimetre of each side.

=> Area = 1 square centimetre or 1 sq.cm or 1 cm².

### 22.2 Area of a Rectangle

=> Let’s a Rectangle whose length is l amd breadth is b.

Then,

#### Formula

Area of a Rectangle

A = (l x b) sq. unit

l = A/b unit

b= A/l unit

### 22.3 Area of a Square

=> Let’s a Square whose side is s.

Then,

#### Formula

Area of a square

A = (s x s) sq. unit

#### Solved Examples

Ex1. Find area of a Rectangle whose length is 10 m and breadth is 5 m.

Sol. Given that:

l = 10 m

b = 5 m

A = (l x b) sq. unit = (10 x 5) sq.m = 50 sq.m ans.

Ex2. Find area of a square whose side is 5 m.

Sol. Given that:

s = 5 m

A = (s x s) sq. unit = (5 x 5 ) sq.m = 25 sq.m ans.

### 22.4 Practice Sets

1. Fill Type
2. Match Type
3. Order Type
4. Conversion Type
5. Compare Type
6. Error Type
7. Statement Type
8. True/False Type
9. Related Type
10. Day-to-Day Type
11. Miscellaneous Type

#### Set-1

Ans: 1 ( ), 2( ), 3( ), 4( ), 5( ), 6( ), 7( ), 8( ), 9( ), 10( )

#### Set-2

Ans: 1 ( ), 2( ), 3( ), 4( ), 5( ), 6( ), 7( ), 8( ), 9( ), 10( )

#### Set-3

Ans: 1 ( ), 2( ), 3( ), 4( ), 5( ), 6( ), 7( ), 8( ), 9( ), 10( )

#### Set-4

Ans: 1 ( ), 2( ), 3( ), 4( ), 5( ), 6( ), 7( ), 8( ), 9( ), 10( )

#### Set-5

Ans: 1 ( ), 2( ), 3( ), 4( ), 5( ), 6( ), 7( ), 8( ), 9( ), 10( )

### 22.7 Exam

The exam will be conducted after the completion of the course.