The scale factor of the dimensions of two similar wood floors is 5:4 . It costs $320 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.

Answer 1

The cost to refinish the larger wood floor can be calculated by using the scale factor of the dimensions. Since the scale factor is 5:4, the cost will be proportional to the square of the scale factor because the area of a floor is proportional to the square of the dimensions.

So, the cost to refinish the larger wood floor will be:
Cost = (5/4)^2 * $320
Cost = (25/16) * $320
Cost = $500

Therefore, it would cost $500 to refinish the larger wood floor.