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.

Correct answer:

x =  81.6 Eur

Step-by-step explanation:

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

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