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Area Exploration Worksheet
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Area Exploration Worksheet
📐 Part 1: Shape Properties and Drawing
1. Draw and label a parallelogram in the box below. Mark the base and height clearly.
2. Draw and label a trapezium in the box below. Mark the parallel sides and height.
3. What makes a parallelogram different from a rectangle? Explain in your own words.
4. Circle the correct statement about trapeziums:
All sides are parallel
One pair of sides is parallel
No sides are parallel
All sides are equal length
🧮 Part 2: Area Calculations
5. Calculate the area of a parallelogram with base = 8 cm and height = 5 cm.
Formula: Area = base × height
Area = ________ cm²
6. Calculate the area of a trapezium with parallel sides of 12 m and 8 m, and height = 6 m.
Formula: Area = ½ × (sum of parallel sides) × height
Area = ________ m²
7. A parallelogram has an area of 42 cm² and a base of 7 cm. What is its height?
Height = ________ cm
🌱 Part 3: Real-Life Applications
8. Sarah wants to plant grass in her garden bed shaped like a trapezium. The parallel sides are 15 metres and 9 metres long, and the width is 4 metres. If grass seed costs $8 per square metre, how much will it cost to cover the entire area?
Total cost = $ __________
9. A parallelogram-shaped window has a base of 1.2 metres and height of 0.8 metres. What is the area of glass needed?
Area = ________ m²
10. Explain why we use the perpendicular height (not the slanted side) when calculating the area of a parallelogram.
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