Question

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?

Answer 1

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.