A 9 meter long wire is cut into two pieces. If the longer piece is then used to form a perimeter of a square, what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point? Pick one.
A) 1/6
B) 1/5
C) 2/9
D) 1/3
E) 2/5
A square with an area of 4 has a perimeter of 8.   For the area to be &gt;4, the longer piece must be &gt;8.   The wire must be cut within 1 meters from either end.   The probability of this is 2/9.   The answer is 2/9.
<result>C</result>
A 9 meter long wire is cut into two pieces. If the longer piece is then used to form a perimeter of a square, what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point?