Arope was 9.45 meters long. it was cut into 3 pieces. the length of the first piece of rope was 1/5 of the original length. the second piece of rope was 0.12 meter longer than the third piece. how long was the second piece of rope

The second piece of rope is 3.84 meters long.

First find how long the first piece is by converting 1/5 into a decimal =.2 then multiply that by 9.45
.2 x 9.45= 1.89 m (first piece)

Subtract that from original length
9.45- 1.89= 7.56
Then subtracr .12 from the remaining amount so 7.56-.12= 3.72

3.72 (third piece)

Now add the first and third piece together and subrtact it from the whole length and it will give you the length of the second piece.

3.72+1.89= 5.61
9.45- 5.61= 3.84 (second piece)

Double check 3.84- 3.72= .12 which it does
And then youre done!
1st 1.89 meters
2nd 3.84 meters
3rd 3.72 meters

You're doing something i dont know how to do but search up on google slope calculator maybe that will get you there