Kilograms 48761

Matthew paints his room. He paints square walls. He painted a wall with a side of 3 m and consumed 5 kg of paint. How many kilograms of paint will he need on a wall with a side length of 6 m?

Correct answer:

m₂ =  10 kg

Step-by-step explanation:

$$\begin{gathered} a=3\text{m} \\ {m}_1=5\text{kg} \\ b=6\text{m} \\ {S}_1=a\cdot a=3\cdot 3=9{\text{m}}^2 \\ {S}_2=b\cdot a=6\cdot 3=18{\text{m}}^2 \\ {m}_2=m_1\cdot \frac{S_2}{S_1}=5\cdot \frac{18}{9}=\frac{5\cdot 18}{9}=\frac{90}{9}=10\text{kg} \end{gathered}$$

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