A building

A building is 125 metres tall and 80 metres long. On a scale drawing, the height of the building is 25 centimetres. What is the length of the building on the scale drawing in centimetres?

Final Answer:

l₂ =  16 cm

Step-by-step explanation:

$$\begin{gathered} h_1=125\text{m} \\ {l}_1=80\text{m} \\ {h}_2=25\text{cm}\to \text{m}=25:100\text{m}=0.25\text{m} \\ M=h_2:h_1=0.25:125=\frac{1}{500}=0.002=1:500 \\ M=l_2:l_1 \\ {L}_2=l_1\cdot M=80\cdot 0.002=\frac{4}{25}=0.16\text{m} \\ {l}_2=L_2\to \text{cm}=L_2\cdot 100\text{cm}=0.16\cdot 100\text{cm}=16\text{cm}=16\text{cm} \end{gathered}$$

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