Answer:
length = 68 feet
width = 36 feet
Area of each half of the garden = 1224 square feet
Explanation:
See attached figure at the bottom
Let the length of the garden be l and width be l-32
Since the garden is divided into two halves, the length would be split into two parts each of l/2
So,
AE =

EB =

AD = l-32
BC = l-32
DF=

FC =

EF = l-32
Total fence required = Sum of all sides + Middle side
244 = AE + EB + AD + BC + FC + DF + AD + EF
244 =



Add 96 to both sides

Cancel out -96 and +96 from the left side

Divide both sides by 5

Cancel out 5 from the top and bottom of the left side
l = 68
So, length = 68 feet
width = l-32
=>width = 68-32
=> width = 36 feet
Thus,

EF = l-32 = 68-32 = 36 feet
Area of each half of the garden = AE * EF
=>Area of each half of the garden = 34 * 36
=> Area of each half of the garden = 1224 square feet