A floor plan of a house is drawn to scale, and 4 centimeters in teh drawing represents 3 meters. The rectangular living room in the floor plan measures centimeters by 8 centimeters. What is the actual 10.66 area of the family room, in square meters?
To find the actual area of the living room in square meters, we first need to convert the measurements from the drawing to actual measurements.
Since 4 centimeters on the drawing represents 3 meters in reality, we can set up a proportion to find the scale factor:
4 cm = 3 meters
1 cm = 3/4 meters
Using this scale factor, we can find the actual measurements of the living room:
Length: 6 cm * 3/4 = 4.5 meters
Width: 8 cm * 3/4 = 6 meters
Now, we can find the actual area of the living room:
Area = length * width
Area = 4.5 meters * 6 meters
Area = 27 square meters
Therefore, the actual area of the living room in square meters is 27 square meters.