Question

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.)

Answer 1

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

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

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