In the x- y plane, there are 4 points (0,0), (0,4), (9,4), and (9,0). If these 4 points makes a rectangle, what is the probability that x+y<4? Choose the correct choice from the following
A) 2/5 B) 3/5 C) 3/7 D) 4/7 E) 2/9
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 36.   P(x+y&lt;4) = 8/36 = 2/9   The answer is 2/9.
<result>E</result>
In the x- y plane, there are 4 points (0,0), (0,4), (9,4), and (9,0). If these 4 points makes a rectangle, what is the probability that x+y<4?