Darren is making a model of a playground on a square piece of wood. The length of a side of the piece of wood is 12 inches. The playground measures 48 feet long by 36 feet wide. Which scale should Darren use to make the largest model possible that will still fit on his wood base?
First, we need to convert the playground measurements to inches, since Darren's wood base is in inches.
48 feet = 576 inches
36 feet = 432 inches
Now we need to determine the scale factor by dividing the measurements of the playground by the measurements of the wood base:
576 / 12 = 48
432 / 12 = 36
Therefore, Darren should use a scale of 1 inch = 48 inches to make the largest model possible that will still fit on his wood base.