Dimensions 83092

On the 1:75 scale plan, the building plot is a rectangle with 60 cm and 50 cm dimensions. If 1 m² of land costs 80 euros, what is the price of the land?

Correct answer:

x =  135000 Eur

Step-by-step explanation:

$$\begin{gathered} M=75 \\ a=60\text{cm}\to \text{m}=60:100\text{m}=0.6\text{m} \\ b=50\text{cm}\to \text{m}=50:100\text{m}=0.5\text{m} \\ p=80{\text{eur/m}}^2 \\ A=a\cdot M=0.6\cdot 75=45\text{m} \\ B=b\cdot M=0.5\cdot 75=\frac{75}{2}=37.5\text{m} \\ S=A\cdot B=45\cdot 37.5=\frac{3375}{2}=1687.5{\text{m}}^2 \\ x=S\cdot p=1687.5\cdot 80=135000\text{Eur} \end{gathered}$$

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