Final answer:
After correcting the error in the given information, the length of the larger piece of carpet is 7 meters, and the total length of the carpet is 19 meters, which does not match any of the provided choices.
Step-by-step explanation:
The question states that a machine cuts a strip of carpet into two pieces, where the length of the smaller piece is 5 meters greater than the length of the larger piece. It is given that the smaller piece is 12 meters long. To find the length of the larger piece, we would subtract 5 meters from the smaller piece's length:
12 meters (smaller piece) - 5 meters = 7 meters (larger piece).
Therefore, the length of the larger piece is 7 meters, which is not one of the provided choices, suggesting there may be an error in the question or choices given. However, to find the total length of the carpet, you would add the lengths of both pieces:
12 meters (smaller piece) + 7 meters (larger piece) = 19 meters (total length of the carpet).
Again, this is not one of the provided choices, indicating a possible error in the question.