What are the diminshions of 180 square feet?

Answer 1

The area is not sufficient information to determine the length and width.

First of all, there is no reason to suppose that the area is rectangular as opposed to circular or triangular or some other simple or complicated shape. Even if you assume that it is a rectangle, there are infinitely many possible answers.

Let X be any number between 0 ft and sqrt(180) = 13.42 feet

and let Y = 180/X feet.

Then the rectangle with sides X and Y will have an area of X*Y = X*(180/X) = 180 square feet. And since there are infinitely many numbers between 0 and 13.42, there are infinitely many possible rectangles.