Answer: length = 28 feet
Width = 16 feet
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 perimeter of a garden is 88 feet. This means that
2(L + W) = 88
Dividing through by 2, it becomes
L + W = 44 - - - - - - - - - - - -1
The length is 12 feet greater than the width. This means that
L = W + 12
Substituting L = W + 12 into equation 1, it becomes
W + 12 + W = 44
2W + 12 = 44
2W = 44 - 12
2W = 32
W = 32/2
W = 16
L = W + 12 = 16 + 12
L = 28