Final answer:
To find the width of the rectangle given the perimeter and the relationship between the length and width, we can set up an equation and solve for the width.
Step-by-step explanation:
To find the width of the rectangle, we can use the formula for the perimeter of a rectangle, which is P = 2L + 2W. Since we know that the perimeter is 54 feet and the length is 13 feet more than the width, we can set up the equation: 54 = 2(W + 13) + 2W. Simplifying this equation gives us 54 = 4W + 26. By subtracting 26 from both sides, we get 4W = 28. And by dividing both sides by 4, we find that the width of the rectangle is 7 feet.