Final answer:
To find the length and width of the rectangle, we can set up a system of equations using the given information. By solving the system of equations, we find that the length is 28 feet and the width is 15 feet.
Step-by-step explanation:
To find the length and width, we can set up a system of equations using the given information. Let L represent the length and W represent the width.
The perimeter of a rectangle is given by the formula P = 2L + 2W. We are given that the perimeter is 86 feet, so we can write the equation 86 = 2L + 2W.
We are also given that the length, L, is 2 feet less than two times its width, W. This can be written as L = 2W - 2.
Now we can solve the system of equations by substituting L = 2W - 2 into the equation 86 = 2L + 2W:
86 = 2(2W - 2) + 2W
86 = 4W - 4 + 2W
86 = 6W - 4
90 = 6W
W = 15
Substituting W = 15 into the equation L = 2W - 2:
L = 2(15) - 2
L = 30 - 2
L = 28
So the length is 28 feet and the width is 15 feet. Therefore, the correct answer is D) L = 28 feet, W = 15 feet.