Knowing the dimensions of the room, you can identify that it the floor is rectangular.
The area of a rectangle can be calculated with this formula:
[tex]A=lw[/tex]Where "l" is the length and "w" is the width.
In this case you can identify that:
[tex]\begin{gathered} l=14ft \\ w=12ft \end{gathered}[/tex]Substituting values into the formula, you get that the area to be carpeting is:
[tex]A=(14ft)(12ft)=168ft^2[/tex]You know that the carpet is priced at $5.30 per square foot. Then, in order to find how much the carpet will cost, you can multiply the price per square foot by 168:
[tex]\begin{gathered} Cost=(5.30\text{ }dollars)(168) \\ Cost=890.4\text{ }dollars \end{gathered}[/tex]The answer is: It will cost $890.4