Answer: The width of the rectangle is 10 meters
Explanation:
Let L represent the length of the rectangle.
Let W represent the width of the rectangle
The length of a rectangle is 6 meters more than twice the width. This is expressed as
L = 2W + 6
The perimeter of the rectangle is expressed as 2(L + W). The perimeter of the rectangle is given as 72 meters. It is expressed as
2(L + W) = 72
L+ W = 72/2 = 36
L + W = 36 - - - - - - - - 1
Substituting L = 2W + 6 into equation 1, it becomes
2W + 6 + W = 36
2W + W = 36 - 6 = 30
3W = 30
W = 30/3 = 10 meters