A rope is /250 units long. The rope is cut into two pieces, so that the lengths of the pieces are in the ratio 3:2. What is the length of the longer piece expressed in simplest radical form?
(1 point)
• 3 /10 units
O 10 /5 units
• 10 Ja units
• 2/10 units
Let the lengths of the two pieces be 3x and 2x.
According to the problem, 3x + 2x = 250.
Combining like terms, we have 5x = 250.
Dividing both sides by 5, we get x = 50.
Therefore, the length of the longer piece is 3x = 3(50) = 150 units.
Answer: 150 units.