What would the maximum area of the circumscribed rectangle?

The maximum area of a circumscribed rectangle depends on the shape of the figure it surrounds. For a given perimeter, the rectangle achieves maximum area when it is a square, as this configuration maximizes the product of its length and width. If the dimensions of the circumscribed shape are known, the area can be calculated accordingly, but generally, the principle remains that a square shape offers the largest area for a given perimeter.