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It is given in the question that

The area of a square sandbox is 46 ft.².

Let the length of the side of the square sandbox is x ft .

And formula of area of square is

[tex]Area = side^2[/tex]

Substituting the given value of area

[tex]46 = side^2[/tex]

We need to get rid of square, and for that we take square root on both sides

[tex]\sqrt{46}=side[/tex]

And the formula of perimeter of square is

[tex]Perimeter=4*side[/tex]

[tex]Perimeter=4\sqrt{46}=27ft[/tex]

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