The one that requires the longest rope is c. (8 + 2)6.48 feet
To determine which movement requires the longest rope, let's evaluate each expression and compare the results.
a. 8 + 2(6.48) feet
b. 2 + 8(6.48) feet
c. (8 + 2)6.48 feet
a. (8 + 2(6.48) = 8 + 12.96 = 20.96 feet represented by AB in image
b. 2 + 8(6.48) = 2 + 51.84 = 53.84 feet represented by CD in image
c. (8 + 2)6.48 = 10 * 6.48 = 64.8 feet represented by EF in image