ECZ 2018 · GCE Paper 1 — Similarity and Congruency
The scale of a map is 1 : 20 000. The actual area of residential plots is 60 km². Calculate the area of the residential plots on the map in square centimetres.
- A. 15 cm²
- B. 1500 cm²
- C. 150 cm²
- D. 3000 cm²
Verified working — step 1
A length scale of 1 : 20 000 gives an area scale of 1 : 20 000² = 1 : 4×10⁸. Convert 60 km² to cm²: 1 km = 10⁵ cm, so 1 km² = 10¹⁰ cm² and 60 km² = 6×10¹¹ cm². Map area = 6×10¹¹ ÷ 4×10⁸ = …The full step-by-step working and final answer are included with Premium — checked against ECZ marking standards.
Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.
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