Janie designed a miniature couch for a dollhouse based on her own couch. Janie's couch is feet long. The scale of the dollhouse is 1 inch : 2 feet. What is the length of the miniature couch for the dollhouse?
If 1 inch on the dollhouse represents 2 feet, then for every inch on the dollhouse, the miniature couch will be 2:1. In other words, it will be twice as long. Thus, the length of the miniature couch for the dollhouse is 2 * 1 = <<2*1=2>>2 inches. Answer: \boxed{2}.
To find the length of the miniature couch for the dollhouse, we need to multiply the actual length of Janie's couch by the scale of the dollhouse.
Given:
Actual length of Janie's couch = x feet
Scale of the dollhouse = 1 inch : 2 feet
Now, let's convert the scale to feet:
1 inch : 2 feet
Since there are 12 inches in a foot, we can also write this as:
1/12 feet : 2 feet
Simplifying, we have:
1/12 : 2
To find the length of the miniature couch for the dollhouse, we multiply the actual length of Janie's couch by the scale of the dollhouse:
Length of miniature couch = x feet * 1/12 * 2
Simplifying this expression, we have:
Length of miniature couch = x/6 feet
Therefore, the length of the miniature couch for the dollhouse is x/6 feet.