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There's a lower limit, but there's no upper limit.

The smallest perimeter that a 96-ft2 rectangle can have is a square with 9.798-ft sides,

for a perimeter of 39.192 ft. (rounded)

But the perimeter can be as big as you want to make it, with no limit.

Each of the following rectangles has area of 96 ft2 :

1-ft x 96-ft . . . perimeter = 194 ft

6-in x 192-ft . . . perimeter = 385 ft (0.073 mile)

1-in x 1,152-ft . . . perimeter = 2,3041/6 ft. (0.436 mile)

0.001-ft x 96,000-ft . . . perimeter = 192,000.002 ft. (36.36 miles)

0.000001-ft x 96,000,000-ft . . . perimeter = 192,000,000.000002 ft ( 36,363.6 miles)

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Q: What is the greatest perimeter of a 96ft2 rectangle could have?
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