Consider all rectangles lying in the region
{(x,y) ∈ R x R : 0 ≤ x ≤ π/2 and 0 ≤ y ≤ 2 sin (2x)}
and having one side on the x-axis. The area of the rectangle which has the maximum perimeter among all such rectangles, is
(A) 3π/2
(B) π
(C) π/2√3
(D) π√3/2
