A stаte hаs а perimeter оf 314 miles. (A) (2 pоints) If yоu don't know anything about the shape of the state, then what shape would have the largest possible area? _______ (2 points) What is the largest area that the state could have if you do not know the shape of the state? Use the shape that you stated in the first part of this question. Only state the numerical value without units. _______ (B) (2 points) If you know that the state is in the shape of a rectangle, then what is the largest area that the state could have? State the numerical value of the area; do not sate the units. _______ (1 point) State the units for the area of the state: _______ (C) (1 point) In this question, assume the state has an area of 156 square miles and the shape of the state is a rectangle. What is one set of possible dimensions of the area, length and width, for the given perimeter of 314 miles. _______ (D) (2 points) Is it possible that the area of the state is 100 square miles? Briefly explain. Below are four answer choices. Type the letter that best describes your answer. ANSWER CHOICES: A. Yes, 100 square miles is less than the perimeter so it is possible. B. Yes, if the length of one side is less than 0.64 miles. C. Yes, because 100 square miles is less than the largest possible area of all shapes. D. No, 100 square miles is larger than all of the possible areas. _______