# A contractor is installing carpet in a new house. The rectangular living room has an area of 96 square feet, and the length is 12 feet less than three times the width of the room. What are the dimensions of the room?

##### 1 Answer

Nov 20, 2016

The room is 8' x 12'

#### Explanation:

We need to set this up based on fact we learned earlier. Area equals length multiplied by width. This is where the algebra kicks in.

We know that the length is 12' less than three times the width

Plug these values into the original formula.

Now we factor

One of the

Since the width has to be a positive number, that leaves 8 as your width. Sub that into the length equation to solve for

:)