Final answer:
A polynomial representing the area of a rectangular football field is A = L * W. For a field with a length of 360, the formula for the area is A = 360 * W. With a typical width of 50 yards, the area would be 18,000 yd^2.
Step-by-step explanation:
To write a polynomial that represents the area of the football field which is rectangular, we can denote the length by L and the width by W. Therefore, the area polynomial would be A = L * W.
When the length of the field is specified as 360 (units were not given, but we'll assume yards given the context of football fields in United States), we can find the area of the field if we knew the width. However, without the width, we can only write the area as a function of the width, which is A = 360 * W.
If a specific width were provided, we could compute the exact area. For this example, it's standard that a football field is 50 yards in width, so if we use this standard measurement, the area of the football field would be A = 360 yd * 50 yd = 18,000 yd2.
We do not have to convert the units because both the length and width are in terms of yards and therefore the area will be in square yards.