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Scale Maps and Plans Theory
![\begin{multicols}{2} \textbf{Example 1}\\ Simplify \(1 \text{~cm}\) : \(400 \text{~m}\) map scale.\\ \textbf{Example 1 solution}\\ \(\begin{aligned} & 400 \text{~m}=400 \times 100 \text{~cm}=40000 \\ & \therefore 1: 40000 \end{aligned}\) \columnbreak \textbf{Example 2}\\ A map has a scale of 1:20000\\ \textbf{i)} What is the actual distance if the scaled distance is \(3 \text{~cm}\)?\\ \textbf{ii)} What is the scaled distance if the actual distance is \(1.2 \text{~km}\)\\ \textbf{Example 2 solution}\\ \textbf{i)} \(\begin{aligned}[t] 1 \text{~cm} & =20000 \text{~cm} \\ 1 \text{~cm} & =200 \text{~m} \\ \therefore 3 \text{~cm} & =600 \text{~m} . \end{aligned}\)\\[3pt] \textbf{ii)} \(\begin{aligned}[t] 20000 \text{~cm} & =1 \text{~cm} \\ 200 \text{~m} & =1 \text{~cm} \\ 1 \text{~m} & =\frac{1}{200} \text{~cm} \\ 1 \text{~m} & =0.005 \text{~cm} \\ 1 \text{~km} & =0.005 \times 1000 \text{~cm} \\ & =5 \text{~cm} \\ 1.2 \text{~km} & =5 \times 1.2 \text{~cm} \\ & =6 \text{~cm} . \end{aligned}\) \end{multicols}](/media/zxac5i0u/26362.png)
NSW Y8 Maths Time and Travel Scale Maps and Plans
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Scale Maps and Plans - Video - Scale and Distance
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