2006 AMC 10B Problem 5

A 2 \times 3 rectangle and a 3 \times 4 rectangle are contained within a square without overlapping at any point, and the sides of the square are parallel to the sides of the two given rectangles. What is the smallest possible area of the square?

\mathrm{(A) \ } 16\qquad \mathrm{(B) \ } 25\qquad \mathrm{(C) \ } 36\qquad \mathrm{(D) \ } 49\qquad \mathrm{(E) \ } 64

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.