You cannot.
There is no simple relationship between the area of a polygon and its dimensions.
For example a rectangle with an area of 1 sq inch can have any length, L, of 1 or more inches, and a breadth of 1/L inches. There are infinitely many possible values for L and so infinitely many solutions.
A question that is in the more general form which simply gives the area of a quadrilateral, rather that a rectangle, there are even more options.
8.125 inches
The length of each side is (115 inches)/(the number of sides in the polygon) .
The dimensions for 288 sq inches is [L2], that is the square of lengths.
The width is expressed in inches.
An area has to be squared. A volume has to be cubed. Lines are one dimension. Plane figures are two dimensions. Solid figures are three dimensions. Any time you add a dimension, you're multiplying one dimension by another. 3 inches times 3 inches equals 9 square inches.
4.5 inches
The linear dimension 62 inches is equal to the metric linear dimension 1.5748 meters
Inches, feet, yards, centimeters, meters, kilometers, miles, fathoms, furlongs... Your measuring dimensions (distance)
The dimension is 1, of Length or [L].
8.125 inches
sorry
It depends on how many sides the polygon is meant to have!
a dimension of 3 inches x 4 inches, usually a size of timber
It means that the surface area of the polygon has an area of 612 square inches.
The length of each side is (115 inches)/(the number of sides in the polygon) .
That is approximately the dimension of a paperback novel.
109 inches by 63 inches by 7.8 inches is the real dimension of Tesla.