If 5 1/2 yards = 1 rod and 3 feet = 1 yard,how many rods are equivalent to 1 foot?
1. 2/11
2. 6/11
3. 2/33
4. 11/6
5. 11/2
6. 11/8
1 rod = 5 1/2 yards = 3*(5 1/2) feet = 33/2 feet
So one foot =1/(33/2) rod = 2/33 rod
To find out how many rods are equivalent to 1 foot, we need to convert all the given units to the same unit.
First, let's convert 5 1/2 yards to feet. Since we know that 3 feet = 1 yard, we can multiply 5 1/2 by 3 to convert yards to feet:
5 1/2 yards * 3 feet/1 yard = 16 1/2 feet.
Next, we'll convert 16 1/2 feet to rods. We're given that 1 rod is equal to 5 1/2 yards. Since we know that 3 feet = 1 yard, we can divide 16 1/2 by 3 to convert feet to yards:
16 1/2 feet / 3 feet/1 yard = 5 1/2 yards.
Now, we can convert 5 1/2 yards to rods using the conversion factor given:
5 1/2 yards * 1 rod/5 1/2 yards = 1 rod.
So, 1 foot is equivalent to 1 rod.
Therefore, the correct answer is option 1: 2/11.