Question

The conversion factor relating feet to meters is 1ft=0.305m. Keep in mind that when using conversion factors, you want to make sure that like units cancel leaving you with the units you need. You have been told that a certain house is 164 m2 in area. How much is this in square feet?

Answer 1

In the problem, “You have been told that a certain house is 164 m2 in area. How much is this in square feet?” The given is: 
Area = 164 meter2 
Formula: Since to get the area you have to have length and width hence the formula of area which is: 
Area = length x width 
We can derive the equation. As length x area = area2 
Solution: 
Length = area2 
Length = square root of 164 meter squared 
Length = 12.81 meters 
Conversion: 12.81 meters x 3.2 ft / 1m = 42 ft
Area = (42 ft)^2 
Area = 1765 ft

Answer 2

Answer: 1,762.97 ft² ≈ 1,763 ft²

Explanation:

1) Conversion factor:

1 ft = 0.305m ⇒

1 = 1 ft / 0.305m ⇒

´[1]² = [1 ft / 0.305m]² ⇒

1 = 1 ft² / (0.305m)² ⇒

1 = 1 ft² / 0.093025 m²

2) 164 m²

164 m² × 1 ft² / 0.093025 m² = 1,762.97 ft² ≈ 1,763 ft²