Answer:
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