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4024/11 May/Jun 2023, Question 21: Similar Triangles

Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 3 marks

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The question, in short

Two similar rectangles: ABCD has AB = 12 cm and BC = 9 cm, PQRS has PQ = 8 cm. Find the shaded area between them.

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

Solution · 3 marks

  1. 1Scale factor = 8/12 = 2/3
  2. 2PS = 9 × 2/3 = 6 cm
  3. 3Shaded area = 12 × 9 − 8 × 6 = 108 − 48
  4. 4= 60 cm²

Answer60

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