Final answer:
To find the length of the longer piece, we can set up an equation using the relationship between the lengths of the two pieces.
Step-by-step explanation:
To find the length of the longer piece of the metal rod, we can set up an equation. Let's say the length of the shorter piece is x meters. According to the problem, the longer piece is 3 times as long as the shorter piece. So, the length of the longer piece would be 3x meters.
Since the entire rod is 9.4 meters long, we can set up the equation: x + 3x = 9.4. Simplifying this equation, we get: 4x = 9.4. Dividing both sides of the equation by 4, we find that x = 2.35.
Therefore, the length of the longer piece (3x) would be 3 * 2.35 = 7.05 meters, rounded to the nearest tenth of a meter.