To find the unit rate that compares the length of the couch in the dollhouse to the length of the couch in the real living room, we need to convert the measurements to the same unit of measurement. Let's convert the length of the couch in the real living room from feet to centimeters:
1 foot = 30.48 centimeters
So, the length of the couch in the real living room is:
8 feet x 30.48 centimeters/foot = 243.84 centimeters
Now we can calculate the unit rate:
Unit rate = length of couch in dollhouse / length of couch in real living room
Unit rate = 6 centimeters / 243.84 centimeters
Unit rate = 0.0246
Therefore, the unit rate that compares the length of the couch in the living room to the length of the couch in the dollhouse is 0.0246 cm/cm.