Discussion
If the minimum mapping unit is one acre and if this is to occupy one square cm area on the map. What should be the scale of map ?
Answer: D
The scale should be 1 : 6,360.
One acre is about 4,047 square metres. If it is to occupy 1 square centimetre, the side of that square (1 cm on the map) must represent the side of a square acre on the ground:
\[ \begin{aligned} \text{side} &= \sqrt{4047\ \text{m}^{2}} \\ &\approx 63.6\ \text{m} = 6360\ \text{cm} \end{aligned} \]
So 1 cm on the map stands for about 6,360 cm on the ground, a scale of 1 : 6,360.
The other options are rounded or misworked values. 1 : 5,000 and 1 : 5,500 would make 1 square cm represent only about 0.62 and 0.75 acre, and 1 : 6,000 about 0.89 acre, so the minimum mapping unit would come out smaller than one acre.
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