Area
Area is the amount of space inside a 2D shape. We measure it in square units (cm², m²). For rectangles, we can use the formula: Area = length × width.
Area by Counting Squares
Count each unit square inside the shape. Each square = 1 cm² (or 1 square unit).
Area = 12 cm²
Area = Length × Width
For rectangles, multiply the length by the width instead of counting every square.
5 × 3 = 15 cm²
Area = length × width
Square Centimetres (cm²)
We write area in square centimetres (cm²) or square metres (m²).
- 📚 Book cover: about 600 cm²
- 🆕 Bedroom floor: about 12 m²
- 💧 Postage stamp: about 4 cm²
The ² means "squared" — it is a 2D measurement.
Area vs Perimeter
Area
Space inside a shape. Measured in cm², m².
Perimeter
Distance around the outside. Measured in cm, m.
Worked Example
A school garden bed is 6 m long and 4 m wide. What is the area?
Step 1: Identify length and width. Length = 6 m, Width = 4 m
Step 2: Use the formula. Area = length × width
Step 3: Calculate. Area = 6 × 4 = 24 m²
The garden bed has an area of 24 m².
Key Vocabulary
Knowledge Check
Question 1
A rectangle is 7 cm long and 3 cm wide. What is its area?
Question 2
A square has a side length of 5 cm. What is its area?
Question 3
A classroom floor is 8 m long and 6 m wide. What is the area of the floor?
Question 4
Two rectangles: Rectangle A is 4 cm × 5 cm. Rectangle B is 3 cm × 7 cm. Which has the larger area?
Lesson Summary
- ✓Area is the space inside a 2D shape. Measured in cm² or m².
- ✓For rectangles and squares: Area = length × width.
- ✓A square with side 5 cm has area 5 × 5 = 25 cm².
- ✓Area (inside, multiply) is different from perimeter (outside, add).