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The information given in the question does not give the shape of the area so it is impossible to answer the question.

The most compact shape would be circular with a radius of just over 8.92 feet.

With each of infinitely many polygonal shapes, there are infinitely many possible dimensions. Consider a rectangle.

Let its length be L feet where L is any value > sqrt(250).

Let is breadth be B = 250/L feet.

Then area = L*B = L*250/L = 250 sq feet.

But L can have infinitely many values and therefore the dimensions of the rectangle are indeterminate.

For example, L = 25, B = 10

L = 250, B = 1

L = 25000, B = 0.01

and so on.

And then there are non-rectangular quadrilaterals, triangles, pentagons, hexagons, ... .

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Q: What the dimensions of 250 square feet?
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