Each week Manhattan GMAT posts a GMAT question on our blog and follows up with the answer the next day. Are you up for the challenge?
Sixteen rectangles are formed by choosing all possible combinations of integer length l and integer width w such that 1 ≤ l ≤ 4 and 1 ≤ w ≤ 4. The probability that a rectangle chosen at random from this set of rectangles has perimeter p and area a such that both 10 ≤ p ≤ 12 and 4 ≤ a ≤ 8 is:
(A) 9/256
(B) 49/256
(C) 3/8
(D) 7/16
(E) 7/8