Final answer:
To find the actual area of the living room, convert the blueprint dimensions to meters using the scale 1 cm = 3 m, resulting in a room size of 12 m by 9 m. The actual area is therefore 108 square meters.
Step-by-step explanation:
The question asks us to find the actual area of a living room that is represented on a blueprint. The dimensions on the blueprint are 4 cm by 3 cm, with a scale of 1 cm = 3 m. To find the actual area, we need to convert the dimensions from centimeters to meters using the given scale and then calculate the area. The actual dimensions of the living room are 4 cm × 3 m/cm = 12 meters by 3 cm × 3 m/cm = 9 meters. Therefore, the actual area of the living room is 12 meters × 9 meters = 108 square meters.