9514 1404 393
Answer:
20 ft wide by 28 ft long
Explanation:
The sum of length and width is half the perimeter, so is 96 ft/2 = 48 ft.
The difference of length and width is given as 8 ft.
The width is half the difference of these numbers: (48 ft -8 ft)/2 = 20 ft.
The length is 8 ft greater: 20 ft + 8 ft = 28 ft.
The garden is 20 ft wide by 28 ft long.
_____
If you need to see the supporting equations for this solution, consider ...
w + (w+d) = s . . . . . where w is the width, d is the difference, and s is the sum
2w = s - d . . . . . . . subtract d
w = (s -d)/2 . . . . . . the solution we used above