Question

A machine cuts a strip of carpet into two pieces. The length of the smaller piece is 5 meters greater than  the length of the larger piece. If the length of the smaller piece is 12 meters, the length of the bigger piece is meters and the total length of the carpet is meters.

Answer 1

17 meters

Explanation:

Length refers to the distance from one end of the object to its other end.

Let the length of the large piece be
`x` meters.

Length of the smaller piece = 5 + length of the large piece =
`5+x`

Its given that the length of the smaller piece is 12 meters,

`5+x=12\\x=12-5\\x=7`

So, length of the large piece = 7 meters

Total length of the carpet = Length of the large piece + Length of the smaller piece = 7 meters + 12 meters = 17 meters