Geometry and TrigonometryMediumBags of compost for a trapezium-shaped bed
Geometry and Trigonometry practice question
A garden bed is shaped like a trapezium whose parallel sides are 6 metres and 10 metres long and are 4 metres apart. One bag of compost covers 4 square metres. How many bags are needed to cover the bed?
Answer: 8
Area = (1/2)(6 + 10)(4) = 32 m², and 32 ÷ 4 = 8 bags.
Common wrong answers
- If you answered 6
- 6 uses 6 × 4 as the area.
- If you answered 10
- 10 uses 10 × 4 as the area.
- If you answered 16
- 16 forgets the 1/2 in the trapezium's area.
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