Square Feet (ft^2) and Square Meters (m^2) Conversion Calculator

An online square feet (ft^2) and square meters (m^2) conversion calculator is presented. Problems involving convertion of square feet and square meters are included.
Square feet and square meters may be abbreviations as follows
2 square feet (plural of foot) may be written as 2 ft^2
12 square meters may be written as 12 m^2


Conversion Formula of Square Feet and Square Meters [1]

1 square foot (ft^2) = 0.09290304 square meter (m^2)
1 square meter (m^2) = (1/0.09290304) square feet (ft^2) = 10.7639104167 square feet (ft^2)


Examples of Conversion

Example 1 - Convert 900 ft^2 to m^2 and round answer to 1 decimal place
900 ft^2 = 900 0.09290304 m^2 = 83.612736 m^2
Round to 1 decimal place
900 ft^2 = 83.6 m^2

Example 2 - Convert 123.5 m^2 to ft^2 and round answer to 2 decimal places
123.5 m^2 = 123.5 10.7639104167 ft^2 = 1329.34293646 ft^2
Round to 2 decimal places
123.5 m^2 = 1329.34 ft^2



Use of ft^2 and m^2 Conversion Calculators

Enter the number of ft^2 or m^2 to be converted and convert.

ft^2         m^2

m^2         ft^2

Decimal Places

     

Problems Involving ft^2 and m^2 Conversions

Solutions are suggested here, but other ways to solve these questions are also possible.

Problem 1
A rectangular garden of length 20.4 ft and width 15.2 ft is to be covered with soil. If a bag of soil covers 2 m^2 and cost $3, how much does it cost to cover the garden?

Solution
Area A of the garden is given by
A = length width = 20.4 ft , 15.2 ft = 310.08 ft^2
Convert the area A into m^2
A = 310.08 ft^2 = 310.08 0.09290304 m^2 = 28.8073746432 m^2
Let N be the number of bags needed
N = ( 28.8073746432 m^2 ) / ( 2 m^2 ) = 14.4036873216
The number of bags must be a whole number, hence
N = 15
The cost C is given by
C = 15 $3 = $45



Problem 2
A house has a sitting room of length 8.4 meters, width of 5.4 meters and height of 3.5 meters. How many gallons of paint are needed to paint the 4 walls of the sitting room excluding two doors of width 0.9 meters and height 3.2 meters each and a window of 1.8 meters by 2 meters if one gallon of paint covers 350 square feet?

Solution
The total area A of the 4 walls of the sitting room is given by
A = 8.4 m 3.5 m + 5.4 m 3.5 m + 8.4 m 3.5 m +5.4 m 3.5 m = 96.6 m^2
The two doors and the window have a total area B given by
B = 2 (0.9 m 3.2 m) + (1.8 m 2 m) = 9.36 m^2
The area C to be painted is given by
C = A - B = 96.6 m^2 - 9.36 m^2 = 87.24 m^2
Convert the area C to be painted in ft^2
C = 87.24 10.7639104167 ft^2 = 939.043544753 ft^2
The number N of gallons needed to paint the sitting room is given by
N = ( 939.043544753 ft^2 ) / (350 square ft^2 / gallon) = 2.68298155644 gallons
N must be a whole number, hence round the above to the next higher whole number
N = 3 gallons



Problem 3
How many 6 inch square tiles are needed to cover a rectangular floor whose dimensions are 4 meters by 5 meters? (Note that 1 foot = 12 inches)

Solution
The total area A of the floor is given by
A = 4 m 5 = 20 m^2
Since 12 inches correspond to 1 foot, the side s of 6 inches, which is half of 12 inches, in feet is
s = 0.5 ft
The area B of a tile is given by
B = 0.5 ft 0.5 ft = 0.25 ft^2
Convert B to m^2
B = 0.25 0.09290304 m^2 = 0.02322576 m^2
The minimum number N of tiles needed is given by
N = (20 m^2) / (0.02322576 m^2) = 861.112833337
Round to the next higher whole number
N = 862 tiles



Problem 4
Find the area in m^2 of a square whose side is equal to 4 ft and 3 in and round the answer to 2 decimal places. (Note that 1 foot = 12 inches)

Solution
Convert 4 ft 3 in to a decimal form
1 ft = 12 in
hence
1 in = (1/12) ft
Convert 3 in to feet
3 in = 3 (1/12) ft = 0.25 ft
Hence
4ft 3in = 4.25 ft
Area A of the square is given by
A = (4.25 ft)^2 = 18.0625 ft^2
Convert A to square meters
A = 18.0625 ft^2 = 18.0625 0.09290304 m^2 = 1.67806116 m^2
Round to 2 decimal places
A = 1.68 m^2




More References and links

  1. www.nist.gove.pdf
  2. Online Calculators
  3. Units Conversion and Calculators
  4. Geometry Calculators