Square-shaped 9491

A square-shaped pool with bottom dimensions of 7m * 4m and a height of 1.2m needs to be painted. How much will the paint cost if 1 kg of paint, which is enough for 6 m² of color, costs 3 euros? The painter charges 1 euro for coating 1 m².

Final Answer:

x =  81.6 Eur

Step-by-step explanation:

$$\begin{gathered} a=7\text{m} \\ b=4\text{m} \\ c=1.2=1.5\text{m} \\ S=a\cdot b+c\cdot (2\cdot a+2\cdot b)=7\cdot 4+1.5\cdot (2\cdot 7+2\cdot 4)=\frac{272}{5}=54.4{\text{m}}^2 \\ {c}_1=3/6=\frac{1}{2}=0.5{\text{eur/m}}^2 \\ {c}_2=1{\text{eur/m}}^2 \\ c=c_1+c_2=0.5+1=\frac{3}{2}=1.5{\text{eur/m}}^2 \\ x=S\cdot c=54.4\cdot 1.5=81.6\text{Eur} \end{gathered}$$

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