Question

How many square feet of tile would be needed to cover the area of a room $14$ feet long and $12$ feet wide?

Answer 1

Hint: In this problem we need to calculate the area of tiles required for a room in square feet. We can observe that the given dimensions of the room are representing that the room is in rectangular shape with length and width. for this room we are going to cover the floor with tiles. So, the area of the tiles is equal to the area of the room or floor. So, we will calculate the area of the floor or room which is in rectangular shape by using the formula $A=\text{length}\times \text{width}$. After that we can write the above calculated value as the required result.

Complete step by step answer:
Given that, a room has $14$ feet long and $12$ feet wide.
From the above dimensions we can write that the room is of rectangular shape of length $14$ feet and width of $12$ feet. Hence
$l=14\text{ feet}$, $b=12\text{ feet}$.
To cover the room with the tiles we need to cover the entire area of the room. For this we are going to calculate the area of the room which is rectangular shape with the given dimensions by using the formula $A=\text{length}\times \text{width}$, then we will get
$\begin{align}
  & A=14\times 12 \\
 & \Rightarrow A=168\text{ square feet} \\
\end{align}$
The above area is the area of the room. But here we need to calculate the area of the tiles required to cover the floor. We need to cover the floor with the tiles that means the area of the room is equal to the area of tiles required.
$\therefore {{A}_{req}}=168\text{ square feet}$.

Note: For this problem we have the dimensions of the room in feet and also asked to calculate the final area in square feet. So, we have not used any unit conversions in the problem. If they have given dimensions of the room in meters and asked to calculate the area in square feet, then we need to use the unit conversion.