An online square feet (\( \text{ft}^2 \)) and square meters (\( \text{m}^2 \)) conversion calculator is presented along with conversion formulas, step-by-step examples, and practical word problems.
Abbreviations:
Reference: NIST Reference Guidelines
Convert \( 900 \, \text{ft}^2 \) to \( \text{m}^2 \) and round the answer to 1 decimal place.
Rounding to 1 decimal place gives:
\[ 83.6 \, \text{m}^2 \]Convert \( 123.5 \, \text{m}^2 \) to \( \text{ft}^2 \) and round the answer to 2 decimal places.
Rounding to 2 decimal places gives:
\[ 1329.34 \, \text{ft}^2 \]Enter the number of \( \text{ft}^2 \) or \( \text{m}^2 \) to be converted and calculate.
Solutions are suggested here, but other ways to solve these questions are also possible.
A rectangular garden of length \( 20.4 \, \text{ft} \) and width \( 15.2 \, \text{ft} \) is to be covered with soil. If a bag of soil covers \( 2 \, \text{m}^2 \) and costs $3, how much does it cost to cover the garden?
Area \( A \) of the garden:
\[ A = \text{length} \times \text{width} = 20.4 \, \text{ft} \times 15.2 \, \text{ft} = 310.08 \, \text{ft}^2 \]Convert area \( A \) into \( \text{m}^2 \):
\[ A = 310.08 \times 0.09290304 \, \text{m}^2 \approx 28.807375 \, \text{m}^2 \]Let \( N \) be the number of bags needed:
\[ N = \dfrac{28.807375 \, \text{m}^2}{2 \, \text{m}^2} = 14.403687 \]Since the number of bags must be a whole number, round up to:
\[ N = 15 \text{ bags} \]The total cost \( C \) is:
\[ C = 15 \times \$3 = \$45 \]A house has a sitting room of length \( 8.4 \, \text{m} \), width \( 5.4 \, \text{m} \), and height \( 3.5 \, \text{m} \). How many gallons of paint are needed to paint the 4 walls of the sitting room excluding two doors of width \( 0.9 \, \text{m} \) and height \( 3.2 \, \text{m} \) each and a window of \( 1.8 \, \text{m} \) by \( 2 \, \text{m} \), if one gallon of paint covers \( 350 \, \text{ft}^2 \)?
The total area \( A \) of the 4 walls:
\[ A = 2 \times (8.4 \times 3.5) + 2 \times (5.4 \times 3.5) = 58.8 + 37.8 = 96.6 \, \text{m}^2 \]The two doors and the window have a total area \( B \):
\[ B = 2 \times (0.9 \times 3.2) + (1.8 \times 2) = 5.76 + 3.6 = 9.36 \, \text{m}^2 \]The net area \( C \) to be painted:
\[ C = A - B = 96.6 - 9.36 = 87.24 \, \text{m}^2 \]Convert area \( C \) to \( \text{ft}^2 \):
\[ C = 87.24 \times 10.7639104167 \, \text{ft}^2 \approx 939.043545 \, \text{ft}^2 \]The number \( N \) of gallons needed:
\[ N = \dfrac{939.043545}{350} \approx 2.682982 \]Rounding up to the next higher whole number:
\[ N = 3 \text{ gallons} \]How many 6-inch square tiles are needed to cover a rectangular floor whose dimensions are \( 4 \, \text{m} \) by \( 5 \, \text{m} \)? (Note that \( 1 \, \text{foot} = 12 \, \text{inches} \))
The total area \( A \) of the floor:
\[ A = 4 \, \text{m} \times 5 \, \text{m} = 20 \, \text{m}^2 \]The side length \( s \) of a 6-inch tile in feet:
\[ s = \dfrac{6 \, \text{in}}{12 \, \text{in/ft}} = 0.5 \, \text{ft} \]The area \( B \) of one tile:
\[ B = 0.5 \, \text{ft} \times 0.5 \, \text{ft} = 0.25 \, \text{ft}^2 \]Convert tile area to \( \text{m}^2 \):
\[ B = 0.25 \times 0.09290304 \, \text{m}^2 = 0.02322576 \, \text{m}^2 \]The minimum number \( N \) of tiles needed:
\[ N = \dfrac{20 \, \text{m}^2}{0.02322576 \, \text{m}^2} \approx 861.112833 \]Rounding up to the next higher whole number:
\[ N = 862 \text{ tiles} \]Find the area in \( \text{m}^2 \) of a square whose side is equal to \( 4 \, \text{ft} \) and \( 3 \, \text{in} \) and round the answer to 2 decimal places. (Note that \( 1 \, \text{foot} = 12 \, \text{inches} \))
Convert \( 4 \, \text{ft} \, 3 \, \text{in} \) into decimal form:
\[ 3 \, \text{in} = \dfrac{3}{12} \, \text{ft} = 0.25 \, \text{ft} \implies 4 \, \text{ft} \, 3 \, \text{in} = 4.25 \, \text{ft} \]Area \( A \) of the square in square feet:
\[ A = (4.25 \, \text{ft})^2 = 18.0625 \, \text{ft}^2 \]Convert area to square meters:
\[ A = 18.0625 \times 0.09290304 \, \text{m}^2 \approx 1.678061 \, \text{m}^2 \]Rounding to 2 decimal places:
\[ A = 1.68 \, \text{m}^2 \]