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1966 AMC 12 Question 14

AMC12 · 1966 AMC 12

Question 14

The length of rectangle $ABCD$ is $5$ inches and its width is $3$ inches. Diagonal $AC$ is divided into three equal segments by points $E$ and $F.$ The area of triangle $BEF,$ expressed in square inches, is:
  1. $\dfrac32$
  2. $\dfrac53$
  3. $\dfrac52$
  4. $\dfrac13\sqrt{34}$
  5. $\dfrac13\sqrt{68}$