Question

1b. 80 foot-long rope is cut into 3 pieces.

Answer 1

Answer: 53.34 feet

Step-by-step explanation:

Let the length of the second piece of rope be x.

The first piece of rope is half as long as the second piece of rope. This will be: = x/2.

The third piece is three times as long as the second piece of rope. This will be: = 3 × x = 3x

Therefore,

x + 0.5x + 3x = 80

4.5x = 80

x = 80/4.5

x = 17.78 feet

The length of the longest piece of rope will be:

= 3 × x

= 3 × 17.78

= 53.34 feet