Answer:
The width is 1/36 feet and the length is 1/18 feet.
The area is 1/12 feet.
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.