Question

How many square feet are in \[100\,{m^2}\]?

Answer 1

Hint: First of all, find which unit is small between square meters and square feet. These both are the units of length. There are 0.3048 meters in one foot, using this convert meter into feet by squaring them.

Complete Step by Step Solution:
In the question, we are given two units which are feet and meters. These both are the units of length which mean feet and meter both units are used to measure the distance or length of any object. The S.I unit of length is a meter which is denoted by m. In both of these units, the bigger unit is the meter. It is a bigger unit compared to feet. We can conclude this when we see the way of converting to each other. As there are 0.3048 meters in one foot which can be expressed in the mathematical form –
$1ft = 0.3048\,m$
According to the question, it is given that, we have to convert \[100\,{m^2}\] into square feet, so, to do this we have to convert the above formula into square feet and square meter.
Therefore, squaring the formula of convert feet into the meter, we get –
$
   \Rightarrow 1ft = 0.3048\,m \\
   \Rightarrow 1f{t^2} = {\left( {0.3048} \right)^2}{m^2} \\
   \Rightarrow 1f{t^2} = 0.0929\,{m^2} \\
 $
So, from the above, we can conclude that there are 0.929 square meters in one square foot.
Now, to convert \[100\,{m^2}\] to square feet, we have to do is –
$
   \Rightarrow \dfrac{{1f{t^2}}}{{0.0929{\,m^2}}} \times 100\,{m^2} \\
   \Rightarrow 1076\,f{t^2} \\
 $

Hence, there are 1076 square feet in 100 square meters.

Note: We can also do it in another more simple way. We know that there are 3.28084 feet in one meter. So, there will be 10.7639 square feet in one square meter.