on the blueprint of the house 44 millimeters represents 8 meters. the length of the living room is 33 millimeters on the blueprint. what is the actual length of the living room?

So if 44=8 and 33=x, solve for x. 
The problem would look like this : 44mm = 8m
                                                      33mm =  x
You would cross multiply giving you this : 44x = 264
Then divide 264 by 44 to isolate x, then you should get this : x = 6
6m will be your answer.