Answer: The length of the shorter piece= 35 ft.
The length of longer piece =105 ft
Explanation:
Let x be the length of the shorter piece and y be the length of the longer piece.
Since, the length of the longer piece is 3 times the length of the shorter piece.
Then
...(1)
Also, the total length of the rope = 140 ft.
Thus,

substitute value of y from (1), we get

Hence, the length of the shorter piece= 35 ft.
The length of longer piece =
ft