Question

In roofing the init “one square” is sometimes use to mean 100 sq ft. Convert this init to the metric system. (Round to one decimal place.)1 square =________ sq m

Answer 1

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

`1square=100ft^2=100ft^2\text{ (}(1m^2)/(3.28^2ft^2))`

where the term into the parenthesis is equal to 1 because

`1=\text{ (}\frac{1m^{}}{3.28^{}ft})\Rightarrow1^2=1=\text{ (}(1m^2)/(3.28^2ft^2))`

Then, we have

`\begin{gathered} 1square=100ft^2=(100)/(3.28^2)m^2 \\ 1square=100ft^2=\frac{100}{10.7584^{}}m^2 \\ 1square=100ft^2=(100)/(3.28^2)m^2 \\ 1square=100ft^2=9.295m^2 \end{gathered}`

so, the answer is

`1square=9.295m^2`

that is, 1 square = 9.295 sq m.