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 Nadia needs 47 feet of fencing.

Step-by-step explanation:  Given that Nadia wants  to enclose a square garden with fencing. It has an area of 141 square feet.

We are to find the quantity of the fencing needed.

Let x represents the side length of the square garden.

Then, according to the given information, we have

Since x is the length, so it cannot be negative.

That is, x = 11.87 feet.

Therefore, the quantity of fencing that is needed is given by

To the nearest foot, the total fencing needed is 47 feet.

Thus, Nadia needs 47 feet of fencing.