She would need 64 square inches of fabric.
To determine the fabric needed for Gina's square tablecloth, the side lengths must be known to calculate the area. Using the scale factor method, if Gina's tablecloth sides are twice that of a square with a 4-inch side length, she would need 64 square inches of fabric.
When determining how much fabric Gina needs for her square tablecloth, the concept of area in Mathematics is used because a tablecloth covers a two-dimensional space on a table. To find the area of a square, you multiply the length of one side by itself. Unfortunately, the question doesn't provide the measurements of the sides of Gina's tablecloth. If we assume Gina's tablecloth follows the same example as Marta's squares where the smaller square has a side length of 4 inches, the area would be 4 inches × 4 inches = 16 square inches. If Gina's tablecloth dimensions were twice that of the smaller square, the area would be calculated with the side length as 8 inches because the larger square has sides twice as long (scale factor of 2), so the area would be 8 inches × 8 inches = 64 square inches. Notably, the area of the larger square is four times the area of the smaller square, not twice, due to the square of the scale factor.
Thus, the fabric required for Gina's square tablecloth will depend on the length of the sides of the square. For example, if her tablecloth is the same size as the larger square in Marta's example (8 inches on each side), she would need 64 square inches of fabric.