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 actual10 2 3 area of the family room, in square meters?
First, we need to convert the measurements from the floor plan to actual measurements.
In the floor plan, 4 centimeters represents 3 meters.
To find the actual measurements of the living room, we can set up a proportion:
4 cm = 3 m
x cm = 8 m
Cross multiplying, we get:
4 * 8 = 3 * x
32 = 3x
x = 10.67 meters
Now that we have the actual measurements of the living room as 10.67 meters by 8 meters, we can calculate the area:
Area = length x width
Area = 10.67 meters x 8 meters
Area = 85.36 square meters
Therefore, the actual area of the family room is 85.36 square meters.