A \(5\)-meter long wire is cut into two pieces. If the longer piece is then used to form a perimeter of a square, what

A \(5\)-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 \(1\) if the original wire was cut at an arbitrary point?

A) \(\dfrac16\)

B) \(\dfrac15\)

C) \(\dfrac3{10}\)

D) \(\dfrac13\)

E) \(\dfrac25\)

Answer: E

Source: GMAT Club Tests