Class 6 NCERT bridge course Answers Activity W3.6 Deriving Area Formulae

 Deriving formula of Area of Square, rectangle

 The children are familiar with the shapes, squares and rectangles. 

 The following activities may be performed to give them an idea of the formulae of the area of squares and rectangles. 

Activity W3.6 

Figure (a) (b) (c) 

 Give children such square and rectangular shapes made on grids. 

 Ask them to count the number of squares horizontally and vertically. 

 This will give them an idea of how long and wide the shape is. 

 The information can be filled in the table given below. 

📏📐 Part 2: Deriving the Area Formula for Squares & Rectangles

Objective:

To help students derive rather than memorize the formula for area of a square and rectangle.

Materials Needed:

• Square and rectangular cut-outs (using graph paper helps)

• Ruler

• Pencil

Activity Steps:

Rectangle Area

Figure (a)

1. Take a rectangle of length 5 units and breadth 4 units.

2. Divide it into 1 × 1 unit squares.

3. Count the total number of small squares.

4. Students will find:
   Area = Length × Breadth = 5 × 4 = 20 square units

Figure (b)

1. Take a rectangle of length 6 units and breadth 5 units.

2. Divide it into 1 × 1 unit squares.

3. Count the total number of small squares.

4. Students will find:
   Area = Length × Breadth = 6 × 5 = 30 square units

Square Area Figure (c)

1. Take a square with each side 5 units.

2. Divide and count the 1 × 1 squares inside.

3. Students will observe:
   Area = Side × Side = 5 × 5 = 25 square units

Conclusion:

• Rectangle → Area = Length × Breadth

• Square → Area = Side²