Final answer:
To find the actual length of the living room on the blueprint, we can set up a ratio using the given measurements. Using cross-multiplication, we can find that the actual length of the living room is 338 millimeters.
Step-by-step explanation:
To find the actual length of the living room, we can use a ratio based on the information given in the blueprint. 39 meters represents 6 meters on the blueprint, so we can set up the ratio as: 39 meters / 6 meters = x / 52 millimeters. To solve for x, we can cross-multiply and divide: x = (39 meters * 52 millimeters) / 6 meters. Calculating this gives us x = 338 millimeters. Therefore, the actual length of the living room is 338 millimeters. This means that each millimeter on the blueprint represents 6/39 meters in reality, allowing us to scale the dimensions accurately.