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📐 Area & Perimeter

Te Horahanga me te Paenga — Measuring Shapes

📏 Two Different Measurements

Perimeter is the distance AROUND a shape (like walking around a field). Area is the space INSIDE a shape (like how much carpet to cover a floor).

🔑 Remember the Difference

Perimeter vs Area

  • 📍 Perimeter = distance around = measured in units (cm, m)
  • 📐 Area = space inside = measured in square units (cm², m²)

Think: Perimeter = fence around a garden. Area = grass inside the garden.

📝 Key Formulas

Rectangle

Perimeter = 2(l + w)
Area = l × w
🔳

Square

Perimeter = 4s
Area = s²
🔺

Triangle

Perimeter = a + b + c
Area = ½ × b × h
Circle
Circumference = 2πr
Area = πr²

💡 Worked Example

Rectangle: 5m × 3m

Perimeter: 2(5 + 3) = 2 × 8 = 16m

Area: 5 × 3 = 15m²

Circle: radius = 7cm (use π ≈ 3.14)

Circumference: 2 × 3.14 × 7 = 43.96cm

Area: 3.14 × 7² = 3.14 × 49 = 153.86cm²

✏️ Activities

Calculate These

  1. Rectangle: 8cm × 4cm
    • Perimeter = ___cm
    • Area = ___cm²
  2. Square: side = 6m
    • Perimeter = ___m
    • Area = ___m²
  3. Triangle: base = 10cm, height = 8cm
    • Area = ___cm²

My working:

👩‍🏫 Teacher Notes

Curriculum Links

  • Mathematics: Geometry & Measurement