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Parallelogram Area Calculations
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Parallelogram Area Calculations
📐 Part 1: Understanding Parallelograms
1. What makes a parallelogram different from other quadrilaterals?
It has four right angles
It has two pairs of parallel sides
All sides are equal length
It has one pair of parallel sides
2. Which measurement represents the HEIGHT of a parallelogram?
The longest side
The slanted side length
The perpendicular distance from base to opposite side
Half the perimeter
3. The formula for the area of a parallelogram is:
Area = length × width
Area = base × height
Area = side × side
Area = base × slant height
🔢 Part 2: Area Calculations
4. Calculate the area of a parallelogram with base = 9.6 m and height = 3.7 m
Answer: __________ m²
5. Find the area: base = 12.45 cm, height = 8.2 cm (round to two decimal places)
Answer: __________ cm²
6. Calculate the area: base = 5.25 m, height = 10.1 m
Answer: __________ m²
7. Find the area: base = 7.8 cm, height = 4.35 cm (round to two decimal places)
Answer: __________ cm²
🌱 Part 3: Real-World Application
8. A farmer wants to plant a parallelogram-shaped vegetable patch. The base is 12.7 m and the height is 6.35 m. Calculate the area to determine how much fertiliser to order.
Area of vegetable patch: __________ m²
9. If the base of a parallelogram doubles but the height stays the same, what happens to the area? Explain your reasoning.
10. A parallelogram-shaped car park has a base of 15.8 m and height of 9.25 m. Calculate the area and round your answer to one decimal place.
Answer: __________ m²
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