Fence paint calculation

0.9 kg of paint is needed to paint a fence measuring 1.2 m x 9.6 m. How much paint will be required to paint a fence measuring 1.6m x 18m?

Final Answer:

m =  2.25 kg

Step-by-step explanation:

$$\begin{gathered} S_1=1.2\cdot 9.6=11.52{\text{m}}^2 \\ {S}_2=1.6\cdot 18=28.8{\text{m}}^2 \\ m=0.9\cdot \frac{S_2}{S_1}=0.9\cdot \frac{\frac{144}{5}}{\frac{288}{25}}=\frac{9}{4}\text{kg}=2.25\text{kg} \end{gathered}$$

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