Final answer:
The question seeks to identify a polynomial that represents the perimeter of a geometric shape, most likely a rectangle. However, given the options, none of the polynomials clearly connects to the dimensions of a rectangle or the formula for a perimeter without additional context.
Step-by-step explanation:
The student is asking for the polynomial that represents the perimeter of a geometric shape. To find the perimeter of a rectangle, we use the formula P = 2l + 2w, where l is the length and w is the width. The town square mentioned, with a length of 39.2 meters and a width of 17.5 meters, would have a perimeter calculated by multiplying 2 by the sum of the length and width. Therefore, the perimeter P equals 2(39.2) + 2(17.5).
Applying this to the given options, the correct polynomial for the perimeter would depend on what each term represents in terms of the length and width of a rectangle. For a rectangle, the quadratic term (x²) doesn't typically represent a physical dimension related to perimeter. Therefore, we must evaluate the constants to determine which option might represent the calculation of a perimeter.
However, without further context as to what the given polynomials represent geometrically, we cannot definitively determine the correct polynomial for a perimeter. In a general sense, none of the polynomials perfectly fit the perimeter's units or formula for a rectangle. Therefore, the question needs more clarity to provide an accurate answer.