Final answer:
The total length of all 19 segments of rope is 128 yards, 0 feet, and 9 inches after converting everything into inches to easily calculate the total, and then back into yards, feet, and inches for the final answer.
Step-by-step explanation:
The student is required to calculate the total length of all the rope segments if each member of the patrol has a piece of fiber rope with a specific length. First, we need to ensure all measurements are in the same unit. Since there are 3 feet in a yard and 12 inches in a foot, we can convert the yards to feet and inches:
- 5 yards = 5 * 3 feet = 15 feet
- 15 feet + 3 feet = 18 feet
- 18 feet = 18 * 12 inches = 216 inches
- 216 inches + 27 inches = 243 inches
Now that we have the length of one segment of rope in inches, we can find the total length of all 19 segments:
Total length in inches = 243 inches * 19 marines = 4617 inches
To convert this back into yards, feet, and inches, we divide by 12 to get feet and then by 3 to get yards:
- 4617 inches / 12 = 384.75 feet
- 384 feet (ignoring the fraction for now) / 3 = 128 yards, so 384 feet = 128 yards and 0 feet
- 0.75 feet * 12 = 9 inches (from the fractional part)
Therefore, the total length of all 19 segments of rope is 128 yards, 0 feet, and 9 inches.