Answer: There is 58 feet of purple rope that is used to make a new station in gym.
Explanation:
Since we have given that
Length of rope is used to make a new station in gym = 63 feet
Length of purple rope is used to make a new station in gym = k feet
Length of red rope which is found to be extra = 5
According to question,
[tex]k+5=63\\\\k=63-5\\\\k=58\ feet[/tex]
Hence, there is 58 feet of purple rope that is used to make a new station in gym.