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

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)

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

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

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

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