Shorter piece: x cm
Longer piece: 3x cm
Equation:
x + 3x = 140
4x = 140
4x/4 = 140/4
x = 35
Substitute 35 for x:
Shorter piece: x = 35 cm
Longer piece: 3(35) = 105 cm
ANSWER: The longer piece is 105 cm in length.
Check:
35 cm + 105 cm = 140 cm
140 cm = 140 cm