The scale factor of the dimensions of two similar wood floors is 4:3 It costs $225 to refinish the smaller wood floor, At that rate, how much would it cost to refinish the larger wood floor in dollars rounded to the nearest penny? Don't include dollar symbol in your answer.
The cost to refinish the larger wood floor can be calculated by using the scale factor to find the ratio between the costs of refinishing the two floors.
Since the dimensions of the two floors are in a ratio of 4:3, the areas of the two floors would be in a ratio of (4^2):(3^2) = 16:9
Therefore, the cost to refinish the larger wood floor would be 16/9 times the cost to refinish the smaller wood floor:
Cost of refinishing larger wood floor = (16/9) * $225
Cost of refinishing larger wood floor = $400
Therefore, it would cost approximately $400 to refinish the larger wood floor.