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Area of Parallelograms Triangles
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Area of Parallelograms and Triangles
📐 Part 1: Formula Knowledge
1. The formula for the area of a parallelogram is:
Area = length × width
Area = base × height
Area = (base × height) ÷ 2
Area = base + height
2. The formula for the area of a triangle is:
Area = base × height
Area = (base × height) ÷ 2
Area = base + height ÷ 2
Area = 2 × base × height
3. When measuring the height of a parallelogram or triangle, the height must be:
The longest side of the shape
Perpendicular (at 90°) to the base
The slanted side of the shape
Any side you choose
📏 Part 2: Area Calculations
4. Calculate the area of a parallelogram with base = 8 cm and height = 5 cm.
Area = _______ cm²
5. Calculate the area of a triangle with base = 12 m and height = 7 m.
Area = _______ m²
6. A parallelogram has a base of 15 cm and height of 9 cm. What is its area?
Area = _______ cm²
7. Find the area of a triangle with base = 20 mm and height = 14 mm.
Area = _______ mm²
🏗️ Part 3: Real-World Applications
8. A triangular garden bed has a base of 4.5 metres and a height of 3.2 metres. Calculate the area of the garden bed.
Area = _______ m²
9. A parallelogram-shaped car park has a base of 25 metres and height of 18 metres. What is the area of the car park?
Area = _______ m²
10. Explain in your own words why the area of a triangle is half the area of a parallelogram with the same base and height.
11. A composite shape is made of a parallelogram (base = 10 cm, height = 6 cm) and a triangle (base = 10 cm, height = 4 cm) joined together. Find the total area.
Total area = _______ cm²
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