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The scale factor of the dimensions of two similar wood floors is 5:4. It costs $288 to refinish the smaller wood floor. At that rate, how much would it cost to refinish the larger woodfloor?(Simplity your answer.)

Respuesta :

First, we have to understand that the floor coorresponds to an area. That means we will have to use a quadratic relation.

[tex]\begin{gathered} (\frac{5}{4})^2=\frac{x}{288} \\ \frac{25}{16}=\frac{x}{288} \\ 16x=25\cdot288 \\ 16x=7200 \\ x=\frac{7200}{16} \\ x=450 \end{gathered}[/tex]

Answer: It will cost $450 to refinish the larger wood floor.

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