ECZ 2020 · O-Level Paper 1 — Similarity and Congruency

A plan of a play boat is drawn to a scale of 1 : 20. If the actual area of the base of the boat is 0.64 m², calculate its area on the map in square centimetres.

  • A. 12.8 cm²
  • B. 6.4 cm²
  • C. 16 cm²
  • D. 32 cm²

Verified working — step 1

Length scale 1 : 20 gives an area scale of 1 : 20² = 1 : 400. Convert 0.64 m² = 0.64 × 10 000 = 6400 cm². Map area = 6400 ÷ 400 = …

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Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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