Rectangular 13993

The plan of the fitness center is made on a scale of 1:150. The rectangular fitness center has 5cm and 6cm dimensions on the plan. How many euros will we pay to cover the fitness studio with a floating floor if we pay 12 euros for 1 m² of floating floor?

Correct answer:

c =  810 eur

Step-by-step explanation:

$$\begin{gathered} M=150 \\ a=5\text{cm}\to \text{m}=5:100\text{m}=0.05\text{m} \\ b=6\text{cm}\to \text{m}=6:100\text{m}=0.06\text{m} \\ x=M\cdot a=150\cdot 0.05=\frac{15}{2}=7.5\text{m} \\ y=M\cdot b=150\cdot 0.06=9\text{m} \\ S=x\cdot y=7.5\cdot 9=\frac{135}{2}=67.5{\text{m}}^2 \\ p=12{\text{Eur/m}}^2 \\ c=p\cdot S=12\cdot 67.5=810\text{eur} \end{gathered}$$

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