The length of a rectangle is twice it's width. The perimeter of the rectangle is 1/6 feet.

The width is 1/36 feet and the length is 1/18 feet.

The area is 1/12 feet.

Step-by-step explanation:

If the width is x, then the length is 2x. This means:

(2) x + (2) 2x = 1/6 | Simplify

2x + 4x = 1/6

6x = 1/6 | Now we divide both sides by 6

x = 1/36 feet

We have found the width, and we know that the length is two times this, so the length is 1/18 feet. We can check by adding these:

1/36 + 1/36 + 1/18 + 1/18 = 1/6, which is the perimeter.

The area is just length times width, so the area is 1/36 * 1/18 = 1/12.