If I'm correct, the area of a square, or any rectangle (a square is also a rectangle) = side x side.
Since all sides of a square are = to each other, the area of a square = length of one side, squared.
So you'd need the square root of 81 to find the length of one side = 9. Perimeter of an object is the sum of it's sides. Square has 4 sides, so 9+9+9+9 = 36
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