Area of squares and rectangles

🟩 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

ShapeFormulaExample
Rectangle 🟦l×bl \times bl×b8 × 5 = 40 cm²
Square 🟩s×ss \times ss×s6 × 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

______  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.

____  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.

_____  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!🖊️