Class 6 NCERT bridge course Answers Activity W1.8 Length – Same Perimeter, Different Shapes

Activity W1.8  Length – Same Perimeter, Different Shapes

Ask the students to construct the following figures using ear buds/ matchsticks and observe the total length of their boundary. 

 The students may be asked to calculate the length of the boundary of these shapes.

 They may check if the lengths are the same. 

 Students may be encouraged to construct more shapes with the same boundary length.

 This will give them an idea that different shapes can have the same boundary length or perimeter.

Activity W1.8: Length – Same Perimeter, Different Shapes

Objective:

To help students understand that different shapes can have the same perimeter (boundary length), even if they look very different.

Instructions for Students:

1. Use matchsticks or ear buds to construct various shapes as shown in the image.

2. Count the number of matchsticks (or sides) used to create the boundary of each shape.

3. Calculate the perimeter of each shape.

4. Observe whether the perimeter is the same or different for each shape.

5. Try creating new shapes using the same number of matchsticks to check if the perimeter stays the same.

Key Concept:

Shapes that look different can still have the same perimeter if the total length of their boundary is the same.

Understanding with the Image:

In the image you uploaded, the shapes are made using straight matchstick-like segments.

Let’s assume each red stick = 1 unit length.

Example Shapes from the Image:

Shape Description	No. of Matchsticks	Perimeter (units)
Big square (top left)	16 (4 per side × 4)	16
Horizontal zig-zag shape (top right)	16	16
Cross-like shape (bottom)	16	16

All three shapes have the same perimeter of 16 units, though their appearances are completely different!

Encourage Students To:

• Create new designs using 16 matchsticks.

• Explore shapes with different areas but same perimeter.

• Compare with shapes made from 12 or 20 matchsticks.

Example Questions and Answers:

1. Q: Can two shapes with the same number of matchsticks have the same perimeter?
   A: Yes, if all matchsticks are of equal length, the perimeter will be the same.

2. Q: Can their area be different?
   A: Yes, even if perimeter is the same, the area can change depending on the shape.

Suggested Activities:

• Group challenge: Each group makes a different shape using 16 matchsticks.

• Math art: Use matchsticks to form patterns with the same perimeter.

• Measurement practice: Use rulers if ear buds are used instead of sticks.

Visual Summary Image :

The uploaded image is excellent. It visually shows:

• Different shaped figures

• Equal number of boundary segments

• Ideal for classroom explanation