Answer: the length of the longer piece is 7.2 meters
Step-by-step explanation:
Let x represent the length of one piece of the metal rod.
Let y represent the length of the other(longer) piece of metal rod.
A metal rod 9.4 meters long is cut into two pieces. This means that
x + y = 9.4 - - - - - - - - - - - - - -1
One piece is 3 times as long as the other. This means that
y = 3x
Substituting y = 3x into equation 1, it becomes
x + 3x = 9.4
4x = 9.4
x = 9.4/4 = 2.4 to the nearest tenth.
Substituting x = 2.4 into y = 3x, it becomes
y = 3 × 2.4
y = 7.2
