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NSW Y12 Maths Standard 1 NSW Y12 Maths Standard 2 NSW Y12 Maths Advanced NSW Y12 Maths Extension 1 NSW Y12 Maths Extension 2

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Rates and Ratios Networks Investments and Loans Non-Right Angled Trigonometry Simultaneous Equations Bivariant Data Analysis Annuities Non-Linear Relationships Normal Distribution Critical Path Analysis

NSW Y12 Maths - Standard 2 Rates and Ratios Scale Drawings

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Scale Drawings Theory

\begin{multicols}{2} The scale of a drawing is the ratio of \textbf{Drawing length: Actual length}.\\ \textbf{Example 1}\\ A scale drawing has a scale 1:50. The drawing length is \(20 \mathrm{~mm}\), what is the actual length? \\ \textbf{Example 1 solution}\\ $\begin{aligned} \text { Actual length } & =20 \times 50 \\ & =1000 \mathrm{~mm} \\ & =1 \mathrm{~m} \end{aligned}$\\ \columnbreak \textbf{Example 2}\\ A scale drawing has a scale \(1: 75\). The actual length is \(3.15 \mathrm{~m}\), what is the length on the drawing? \\ \textbf{Example 2 solution}\\ Let \(L=\) drawing length\\ $\begin{aligned} \therefore L: 3.15 & =1: 75 \\ \frac{L}{3.15} & =\frac{1}{75} \\ L & =\frac{3.15}{75} \\ & =0.042 \mathrm{~m} \\ & =4.2 \mathrm{~cm} \end{aligned}$\\ \end{multicols}

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Videos

Videos relating to Scale Drawings.

  • Scale Drawings - Video - Scale Drawings

  • Scale Drawings - Video - Scale Drawings 1

  • Scale Drawings - Video - Scale Drawings 2

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