A 14 meter long wire is cut into two pieces.
A 14 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?
Answer/Solution
6/7
Steps/Work
A square with an area of 4 has a perimeter of 8.
For the area to be >4, the longer piece must be >8.
The wire must be cut within 6 meters from either end.
The probability of this is 12/14 = 6/7.
The answer is D.
For the area to be >4, the longer piece must be >8.
The wire must be cut within 6 meters from either end.
The probability of this is 12/14 = 6/7.
The answer is D.