We need to convert 100 square feet to square meters. We know that 1 feet is equal to 3.28 meters, then we can write
[tex]1square=100ft^2=100ft^2\text{ (}\frac{1m^2}{3.28^2ft^2})[/tex]where the term into the parenthesis is equal to 1 because
[tex]1=\text{ (}\frac{1m^{}}{3.28^{}ft})\Rightarrow1^2=1=\text{ (}\frac{1m^2}{3.28^2ft^2})[/tex]Then, we have
[tex]\begin{gathered} 1square=100ft^2=\frac{100}{3.28^2}m^2 \\ 1square=100ft^2=\frac{100}{10.7584^{}}m^2 \\ 1square=100ft^2=\frac{100}{3.28^2}m^2 \\ 1square=100ft^2=9.295m^2 \end{gathered}[/tex]so, the answer is
[tex]1square=9.295m^2[/tex]that is, 1 square = 9.295 sq m.
