Question

Larry wants to buy some carpeting for his living room. The length of the room is 2 times the width and the area of the room is 18 square meters. What is the length of the living room?

Answer 1

Answer: 6

Explanation: So, the width would be 3, and if you multiply that by 2 you get 6. Which the formula for Area is length x width. So the answer for the question is 6.

Answer 2

For this case we have that by definition, the area of a rectangular space is given by:

`A = w * l`

Where:

A: It's the area

w: It is the width

l: The length

If they tell us that
`l = 2w` and
`A = 18` we have:

`18 = w * 2w\\18 = 2w ^ 2\\9 = w ^ 2\\w = \pm \sqrt {9}`

As we speak of a length, we take the positive root:

`w = \sqrt {9}\\w = 3`

Answer:

The length is:

`l = 2 * 3\\l = 6 \ meters`