Discussion
A field measures 2 cm by 3 cm on a 1:5,000 plan. What is its ground area?
Answer: C
Correct answer: 15,000 square metres
Convert each side to the ground first: \[ 2\ \mathrm{cm} \times 5000 = 10{,}000\ \mathrm{cm} = 100\ \mathrm{m}, \qquad 3\ \mathrm{cm} \times 5000 = 150\ \mathrm{m}, \] so the area is \( 100\times150 = 15{,}000\ \mathrm{m^2} \). Multiplying the map area of 6 cm² by 5000 once gives 600, which is the trap - area scales with the *square* of the linear factor, so the multiplier is \( 5000^2 \).
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