Pool

The prism-shaped pool is 2 m deep, with a bottom of the isosceles trapezoid, base dimensions of 10 m and 18 m, and arms legs 7 m long and 5.7 m long. During the spring cleaning, we must paint the bottom and walls of the pool. How many m² of paint should be used?

Correct answer:

S =  163.8 m²

Step-by-step explanation:

$$\begin{gathered} h=2\text{m} \\ a=10\text{m} \\ c=18\text{m} \\ b=7\text{m} \\ d=b=7\text{m} \\ {h}_2=5.7\text{m} \\ {S}_1=(a+c)\cdot h_2/2=(10+18)\cdot 5.7/2=\frac{399}{5}=79.8{\text{m}}^2 \\ o=a+b+c+d=10+7+18+7=42\text{m} \\ {S}_2=h\cdot o=2\cdot 42=84{\text{m}}^2 \\ S=S_1+S_2=79.8+84=163.8{\text{m}}^2 \end{gathered}$$

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