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2014 AMC 10A Question 23

AMC10 · 2014 AMC 10A

Question 23

A rectangular piece of paper whose length is $\sqrt3$ 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 $B:A?$

Question illustration
  1. $1:2$
  2. $3:5$
  3. $2:3$
  4. $3:4$
  5. $4:5$