📐 Part 1: Breaking Down Compound Shapes

1. Which simple shapes can you identify in compound shapes? Tick all that apply:

Rectangle

Triangle

Parallelogram

Trapezium

Circle

2. What is the formula for the area of a rectangle?

length + width

length × width

½ × length × width

2 × (length + width)

3. What is the formula for the area of a triangle?

base × height

½ × base × height

base + height

2 × base × height

4. When calculating areas, which units should you use?

cm, m

cm², m²

cm³, m³

No units needed

📏 Part 2: Calculating Compound Areas

5. A compound shape is made of a rectangle (8cm × 5cm) joined to a triangle (base 6cm, height 4cm). Calculate the total area:

Step 1: Area of rectangle = _______ × _______ = _______ cm²

Step 2: Area of triangle = ½ × _______ × _______ = _______ cm²

Step 3: Total area = _______ + _______ = _______ cm²

6. A garden plot is L-shaped. It can be split into two rectangles: Rectangle A (12m × 8m) and Rectangle B (6m × 4m). Find the total area:

Total area = _____________ m²

7. Explain in your own words the steps to find the area of a compound shape:

🎯 Part 3: Problem Solving

8. A compound shape has a total area of 84cm². It consists of a rectangle (9cm × 6cm) and a triangle. If the triangle has a base of 8cm, what is its height?

Height of triangle = _____________ cm

9. Draw and label your own compound shape made from exactly 3 simple shapes. Calculate its total area:

My compound shape has a total area of _____________ cm²

10. A common mistake when calculating compound areas is forgetting to include units. Why are units important in area calculations?

Compound Shape Areas

Compound Shape Areas

📐 Part 1: Breaking Down Compound Shapes

📏 Part 2: Calculating Compound Areas

🎯 Part 3: Problem Solving

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