Answer:
Length of the longer piece be 105 ft .
Step-by-step explanation:
As given
Mauro has 140 ft of rope.
He will cut it into two pieces so that the length of the longer piece is 3 times the length of the shorter piece.
Let us assume that the length of the shorter piece be x.
Length of the Longer piece = 3x
Than the equation become
3x + x = 140
4x = 140
[tex]x = \frac{140}{4}[/tex]
x = 35 ft
Length of the longer piece = 3 × 35
= 105 ft
Therefore the length of the longer piece be 105 ft .
