This chapter explains the concepts of perimeter and area through the example of designing a quilt.
Perimeter means the total distance around a shape — like stitching lace along the edge of a quilt.
Square = 4 × side
Rectangle = 2 × (length + breadth)
Area means the space covered inside a shape — measured in square units (cm²).
Square = side × side
Rectangle = length × breadth
Students learn that shapes can have the same perimeter but different areas, or the same area but different perimeters. This helps them understand how length and breadth affect measurements.
The chapter also includes patchwork activities, where students count squares and triangles to cover a surface without gaps or overlaps (tiling concept).
Overall, this chapter builds a clear understanding of area and perimeter through practical and creative examples like quilt patchwork.
Key Points
• Perimeter = Boundary 🪡 → Total distance around a shape (like stitching lace on the quilt’s edge).
👉 Formula:
Square = 4 × side
Rectangle = 2 × (length + breadth)
• Area = Space Inside 🧵 → How many unit squares (1 cm × 1 cm) can fit inside.
👉 Formula:
Square = side × side
Rectangle = length × breadth
• Same Perimeter, Different Area 🤔
Ex: 6 × 5 rectangle → Perimeter = 22 cm, Area = 30 cm²
9 × 2 rectangle → Perimeter = 22 cm, Area = 18 cm²
• Same Area, Different Perimeter 🪢
6 × 6 square → Area = 36 cm², Perimeter = 24 cm
9 × 4 rectangle → Area = 36 cm², Perimeter = 26 cm
• Patchwork Counting 🟦🟩🔺
1 square patch = 2 green triangles
To cover 54 squares → 108 green triangles
Red triangle covers 4.5 patches → Need 12 for 54 patches
1 blue square patch = 1 square
👉 👉 Grandma’s quilt shows us: Area = how much space, Perimeter = how much border. In real life, we use these for fencing fields, covering tables, tiling floors, and stitching clothes. Knowing both helps in smart design and planning.