Question

A 12 ft by 14 ft room is to have wall-to-wall carpeting installed. The carpet is priced at $5.30 per square foot, with installation and tax included. How much will the carpet cost?

Answer 1

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:

`A=lw`

Where "l" is the length and "w" is the width.

In this case you can identify that:

`\begin{gathered} l=14ft \\ w=12ft \end{gathered}`

Substituting values into the formula, you get that the area to be carpeting is:

`A=(14ft)(12ft)=168ft^2`

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:

`\begin{gathered} Cost=(5.30\text{ }dollars)(168) \\ Cost=890.4\text{ }dollars \end{gathered}`

The answer is: It will cost $890.4