What dimensions are a room with 250 square feet?

Answer 1

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

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

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

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.