Schoolmaster 5412

The schoolmaster has a classroom schedule where the linoleum needs to be replaced. The classroom floor is a 45mm x 65mm rectangle on a 1:200 scale plan. How much will linoleum cost if 1 square meter costs €13.80?

Correct answer:

x =  1614.6 Eur

Step-by-step explanation:

$$\begin{gathered} A=45\text{mm}\to \text{m}=45:1000\text{m}=0.045\text{m} \\ B=65\text{mm}\to \text{m}=65:1000\text{m}=0.065\text{m} \\ M=200 \\ a=A\cdot M=0.045\cdot 200=9\text{m} \\ b=B\cdot M=0.065\cdot 200=13\text{m} \\ S=a\cdot b=9\cdot 13=117{\text{m}}^2 \\ x=13.80\cdot S=13.80\cdot 117=1614.6\text{Eur} \end{gathered}$$

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