Answer:
6.048 ft and any other option less than that.
Step-by-step explanation:
Perimeter is the sum of all the side lengths of a shape. In cases like a circle, the perimeter is equal to its circumference (2πr).
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If we're told that a fence, which acts as a circumference for the round garden, can have a maximum length of 38 ft, then we can equate this to the circumference equation and solve for r.
[tex]38 = 2 \pi r[/tex]
[tex]\dfrac{38}{2\pi}=r=6.048 \: ft[/tex]
So, the garden can have a radius of 6.048 feet or less.