Final answer:
The area of Polygon 2, which is dilated by a scale factor of 4, would be 16 times the area of Polygon 1. Since we denote the area of Polygon 1 as 'r', the area of Polygon 2 is 16r (16 times r). The correct answer is 576r square feet.
Step-by-step explanation:
When a polygon is dilated by a scale factor, the area of the polygon is affected by the square of the scale factor.
In this problem, Polygon 1 is dilated by a scale factor of 4 to create Polygon 2, which means that each dimension of Polygon 1 is multiplied by 4.
Thus, the area of Polygon 2 will be the area of Polygon 1 multiplied by the scale factor squared (42 = 16).
We are not given the specific area of Polygon 1, but we can denote it as 'r'.
Hence, the area of Polygon 2 will be 16r square feet. If the area of Polygon 1 is r, the area of Polygon 2, when using a scale factor of 4, will be 16r.
The correct answer to the problem is: C. 576r square feet, since the area of the original polygon has been multiplied by the square of the scale factor, which is 42 = 16, and hence the area is 16 times larger.