Final answer:
The question pertains to understanding the effect of dimension scaling on the area of squares in geometry. Doubling the side length of a square results in an area that is four times larger. To calculate fabric needed for a tent modeled as a triangular prism, the dimensions of the tent are required, which were not provided in the question.
Step-by-step explanation:
The subject of the question is mathematics, specifically dealing with geometric figures and scale factors. The question requires understanding how changes in dimensions affect the area of geometric shapes. A fundamental concept in geometry is that when the dimensions of a shape are scaled by a factor, the area is scaled by the square of that factor.
Marta has a square with a side length of 4 inches. When the dimensions of a square are doubled, the side length becomes 8 inches. Since the area of a square is calculated by squaring the side length (Area = side length × side length), the larger square's area can be found by calculating 8 inches × 8 inches, which equals 64 square inches. This is four times the smaller square's area, which is 16 square inches (4 inches × 4 inches).
To determine the amount of fabric needed for the tent modeled as a triangular prism, we would need the dimensions of the tent, which include the height, base, and length of the triangular faces, as well as the length of the rectangular sides. These measurements are essential to calculate the surface area of the triangular prism. Unfortunately, these measurements are not provided in the question. Without them, we cannot accurately calculate the surface area and thus cannot identify the correct amount of fabric needed.