Answer: length = 28 meters
Width = 15 meters
Step-by-step explanation:
Let L represent the length of the rectangular garden.
Let W represent the width of the rectangular garden.
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
The rectangular garden is enclosed with eighty-six meters of fencing. This means that
2(L + W) = 86
Dividing through by 2, it becomes
L + W = 43- - - - - - - - - - - -1
The garden is thirteen meters longer than it is wide.. This means that
L = W + 13
Substituting L = W + 13 into equation 1, it becomes
W + 13 + W = 43
2W + 13 = 44
2W = 43 - 13
2W = 30
W = 30/2
W = 15
L = W + 13 = 15 + 13
L = 28
