In the x- y plane, there are 4 points (0,0), (0,4), (7,4), and (7,0). If these 4 points makes a rectangle, what is the probability that x+y<4?	Choose the correct choice from the following.
A) 2/3 B) 3/5 C) 2/7 D) 4/9 E) 7/10
The line y=-x+4 intersects the rectangle and these three points of intersection (0,0), (0,4) and (4,0) form a triangle.   The points below the line y=-x+4 satisfy x+y&lt;4.   The area of this triangle is (1/2)(4)(4)=8   The area of the rectangle is 28.   P(x+y&lt;4) = 8/28 = 2/7   The answer is 2/7.
<result>C</result>
In the x- y plane, there are 4 points (0,0), (0,4), (7,4), and (7,0). If these 4 points makes a rectangle, what is the probability that x+y<4?