Final answer:
The perimeter of the base of the aquarium is 2 and 9/28 yards.
Step-by-step explanation:
To find the perimeter of the base of the aquarium, we need to add up the lengths of all its sides. The given information tells us that one side of the base is 3/4 of a yard long, and the other side is 5/7 of a yard long. Let's calculate:
The perimeter = (3/4 + 5/7 + 3/4 + 5/7) yards.
Now, we need to find a common denominator for 4 and 7, which is 28. So, the perimeter = (21/28 + 20/28 + 21/28 + 20/28) yards.
Adding up the fractions, we get: (82/28) yards.
This fraction can be simplified to 2 and 9/28 yards, which is option C.