Final answer:
Without the dimensions or visual representation of the specific figure in question, we cannot calculate its surface area. However, the concept involves using scale factors and dimensions to find areas, as demonstrated with the examples of scaling up a square and converting units of measurement for Earth's surface area and an airplane wing span.
Step-by-step explanation:
To determine the surface area of a figure, one must have the dimensions of the figure. Without the provided figure or dimensions in this scenario, we are unable to calculate its surface area. However, the provided examples suggest topics such as scale factors, volumes, and areas. For instance, if we refer to the case of Marta's square, when the dimensions of a square are doubled, the scale factor in terms of side length is 2. Therefore, each side of the larger square would be 8 inches (4 inches x 2), as mentioned in the reference material. To find the area of this larger square, you would square the side length, resulting in an area of 64 square inches (8 inches x 8 inches), which is four times the area of the smaller square with a side length of 4 inches.
Similarly, in the example of the rectangular carpet, when a scale drawing has a scale factor of 1/24, the actual carpet's area is calculated by taking the drawing's dimensions and multiplying them by the square of the scale factor. Without knowing the drawing's specific measurements, we cannot replicate this calculation for the unnamed figure. The same principle applies to converting units of measurement or scaling down dimensions, as seen in the examples of the Earth's surface area and the airplane wing span.