Area of squares and rectangles
Key Notes :
🟩 Area of Squares and Rectangles 📐
1️⃣ What is Area?
- Area is the space inside a shape.
- Measured in square units (like cm², m², etc.)
- Example: 🟫 A square with side 4 cm → area = 16 cm²
2️⃣ Rectangle 🟦
- Definition: A rectangle has opposite sides equal and all angles 90°.
- Formula for Area:
Area=Length × Breadth (A=l×b)\text{Area} = \text{Length × Breadth} \, (A = l \times b)Area=Length × Breadth(A=l×b)
- Example: 📏 Length = 8 cm, Breadth = 5 cm
Area=8×5=40 cm²\text{Area} = 8 \times 5 = 40 \, \text{cm²}Area=8×5=40cm²
💡 Tip: Count how many 1×1 squares fit inside the rectangle.
3️⃣ Square 🟩
- Definition: A square has all sides equal and all angles 90°.
- Formula for Area:
Area=Side × Side (A=s×s)\text{Area} = \text{Side × Side} \, (A = s \times s)Area=Side × Side(A=s×s)
- Example: 📏 Side = 6 cm
Area=6×6=36 cm²\text{Area} = 6 \times 6 = 36 \, \text{cm²}Area=6×6=36cm²
💡 Tip: A square is a special rectangle where length = breadth.
4️⃣ Quick Comparison
| Shape | Formula | Example |
|---|---|---|
| Rectangle 🟦 | l×bl \times bl×b | 8 × 5 = 40 cm² |
| Square 🟩 | s×ss \times ss×s | 6 × 6 = 36 cm² |
5️⃣ Fun Fact 🎉
- If you double the sides of a square, the area becomes 4 times bigger!
- Example: Side 2 cm → 4 cm → Area = 4² = 16 cm² → New area = 16² = 256 cm²
6️⃣ Remember 🔑
- Units always squared: cm², m², etc.
- Formula: Rectangle → Length × Breadth
- Formula: Square → Side × Side
Learn with an example
▶️ What is the area?

______ square kilometres
Find the base and height of the rectangle.
base: 11 km
height: 22 km
Use these numbers in the formula.
Area = base × height
= 11 × 22
= 242
Now find the units. The lengths are measured in kilometres, so the area is measured in square kilometres.
The area is 242 square kilometres.
▶️ What is the area?

____ square kilometres
Find the base and height of the rectangle.
base: 14 km
height: 12 km
Use these numbers in the formula.
Area = base × height
= 14 × 12
= 168
Now find the units. The lengths are measured in kilometres, so the area is measured in square kilometres.
The area is 168 square kilometres.
▶️ What is the area?

_____ square metres
Find the base and height of the rectangle.
base: 18 m
height: 11 m
Use these numbers in the formula.
Area = base × height
= 18 × 11
= 198
Now find the units. The lengths are measured in metres, so the area is measured in square metres.
The area is 198 square metres.
Let’s practice!🖊️

