What is the prime factorization of 77?

7*11

Step-by-step explanation:

77 is a composite number, so it can only be multiplied by itself and 1.

11

x7

77

So if one bit of the length, is half the size of the other bit then we can make the following equation, for x being the length of rope:

x + 2x = 66
3x = 66
x = 22

That is the length, of the smaller one (half the big one), so 2x = 44. Hence d) is your answer.

Hope I helped!