0580/22 May/Jun 2021, Question 14: Area of a Parallelogram and Trapezium
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 4 marks
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The question, in short
Using the symmetric trapezium with top side 15.4 cm, height 18.2 cm and base angle 62°, work out its area.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 1tan 62 = 18.2/x, so x = 18.2 ÷ tan 62 = 9.677…
- 2Bottom side = 15.4 + 2 × 9.677… = 34.754…
- 3Area = 1/2 × (15.4 + 34.754…) × 18.2
- 4= 456.4… ≈ 456 cm²
Answer456 or 456.4…
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