A rectangular piece of paper whose length is \sqrt{3} times the width has area A. The paper is divided into three equal sections along the opposite lengths, and then a dotted line is drawn from the first divider to the second divider on the opposite side as shown. The paper is then folded flat along this dotted line to create a new shape with area B. What is the ratio B: A ?
Answer Choices
A. 1: 2
B. 3: 5
C. 2: 3
D. 3: 4
E. 4: 5