Answer: length = 8 units
Width = 6 units
Step-by-step explanation:
Let L represent the length of the rectangular garden.
Let W represent the width of the rectangular garden.
The length of a rectangle is 2 units more than the width. This means that
L = W + 2
The area of the rectangle is 48 units. This means that
LW = 48- - - - - - - - - - - - -1
Substituting L = W + 2 into equation 1, it becomes
W(W + 2) = 48
W² + 2W = 48
W² + 2W - 48 = 0
W² + 8W - 6W - 48 = 0
W(W + 8) - 6(W + 8) = 0
W - 6 = 0 or W + 8 = 0
W = 6 or W = 8
Since the width of the rectangle cannot be negative, then W = 6
L = W + 2 = 6 + 2
L = 8
