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0580/11 May/Jun 2022, Question 23: Area of a Parallelogram and Trapezium

Cambridge IGCSE Mathematics 0580 · Paper 11 (Core) · Calculator · 5 marks

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The question, in short

Using the trapezium diagram with base 180 mm, left side 72 mm and sloping side 204 mm, work out its area.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Solution · 5 marks

  1. 1Difference in heights = √(204² − 180²) = √(41 616 − 32 400)
  2. 2= √9216 = 96 mm
  3. 3Right side = 72 + 96 = 168 mm
  4. 4Area = 1/2 × (72 + 168) × 180
  5. 5= 21 600 mm²

Answer21600

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