Area of compound figures

key points :

📘 Compound Figure

• A compound figure (or composite shape) is a shape made up of two or more simple shapes.
  Example: Rectangle + Triangle, Square + Circle, etc.

🧩 Break Into Simple Shapes

• To find the area easily, split the compound figure into simple shapes you already know:
  ✅ Square
  ✅ Rectangle
  ✅ Triangle
  ✅ Circle (if given)

📐 Area Formulas You Must Know

Shape	Formula	Emoji
⬛ Rectangle	Area = Length × Breadth	📏×📏
◼️ Square	Area = Side × Side	🔲
🔺 Triangle	Area = ½ × Base × Height	✖️➗2
⚪ Circle*	Area = π × r² (use only if required at grade level)	🔵

💡 Add or Subtract Areas

• If shapes are joined, add their areas ➕
• If a part is cut out, subtract the removed area ➖

🔍 Steps to Find the Area of a Compound Figure

1️⃣ Split the figure into smaller known shapes 🧩
2️⃣ Label the lengths clearly ✍️
3️⃣ Write formula for each shape 📘
4️⃣ Find area of each part 🔢
5️⃣ Add or subtract the areas to get the total area ✅

🎯 Important Tips

✨ Convert all units to the same unit before calculation (cm, m).
✨ The final answer should be in square units (cm², m²).
✨ Draw lines to separate shapes if needed—this makes the problem easier! ✏️📏

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🌈 Example (Simple)

A figure is made of:
📍 1 rectangle + 1 triangle

➡️ Find area of rectangle
➡️ Find area of triangle
➡️ Add them to get the total area 🎉

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✅ Remember!

• Compound = Many Shapes Combined 🧩
• Area means the space inside a shape 🌍
• Use formulas + addition/subtraction to find the total area 🧮

Learn with an example

Let’s practice!🖊️