Geometry and TrigonometryMediumArea of a trapezoid-shaped field
Geometry and Trigonometry practice question
A field is shaped like a trapezoid with parallel sides of 8 metres and 14 metres and a perpendicular distance of 5 metres between them. What is the area of the field, in square metres?
Answer: 55
Area = (1/2)(8 + 14)(5) = (1/2)(22)(5) = 55.
Common wrong answers
- If you answered 40
- 40 uses the shorter base only (8 × 5).
- If you answered 70
- 70 uses the longer base only (14 × 5).
- If you answered 110
- 110 omits the 1/2.
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