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.

Length of larger piece: 7 m

Total length of carpet is: 19 m

Step-by-step explanation:

Let the smaller piece have length x.

Let the larger piece have length y.

"The length of the smaller piece is 5 meters greater than the length of the larger piece."

x = y + 5

"If the length of the smaller piece is 12 meters"

x = 12

x = y + 5

12 = y + 5

7 = y

y = 7

The larger piece has length 7 meters.

The total length of the carpet is x + y = 12 m + 7 m = 19 m

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step-by-step explanation:

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