A rope is cut into 3 pieces, A, B and C, in the ratio 7 : 2 : 5.The length of the shortest piece is 12 m.What is the length of the longest piece of rope?The length of the longest piece is m

No answer

To solve this problem, we first need to understand the ratio and how it applies to the lengths of the pieces of rope. The ratio 7:2:5 means that for every 7 parts of piece A, there are 2 parts of piece B, and 5 parts of piece C.

1. First, we need to find the total parts in the ratio. We do this by adding all the parts together: 7 (for piece A) + 2 (for piece B) + 5 (for piece C) = 14 parts.

2. We know that the shortest piece (B) is 12m and corresponds to 2 parts of the ratio. Therefore, each part of the ratio is equal to the length of the shortest piece divided by its corresponding parts in the ratio: 12m / 2 = 6m.

3. To find the length of the longest piece (A), we multiply the length of each part by the number of parts for piece A: 6m * 7 = 42m.

So, the length of the longest piece of rope is 42 meters.