Final answer:
By setting up equations using the perimeter and the relationship between length and width, we find that the length is 28 feet and the width is 15 feet. This does not match any of the provided options, indicating a possible error in the options or question statement.
Step-by-step explanation:
We are given that the perimeter of a rectangle is 86 feet and that the length is 2 feet less than two times its width. We can use these information to set up equations and solve for the length and width.
Step-by-Step Solution:
- Let's denote the width as w feet.
- According to the problem, the length l would be 2w - 2 feet.
- The perimeter P of a rectangle is given by P = 2l + 2w.
- Substituting the given perimeter and the expression for the length we get: 86 = 2(2w - 2) + 2w.
- Expanding the equation we have: 86 = 4w - 4 + 2w.
- Combining like terms gives us: 86 = 6w - 4.
- Adding 4 to both sides gives us: 90 = 6w.
- Dividing both sides by 6 gives us the width: w = 15 feet.
- Now we can find the length using the width: l = 2(15) - 2 = 28 feet.
- Therefore, the length is 28 feet and the width is 15 feet.
None of the provided options (A, B, C, D) match our calculated dimensions, so there might be an error in the options provided or in the statement.