$f(x) = 2\sin x \hspace{10pt}(0 \leq x \leq \pi)$
$g(x) = -\sin x \hspace{10pt}(0 \leq x \leq \pi)$
Rectangle ABCD is enclosed between the above functions' graphs (its edges are parallel to the axes).
How would I go about finding the maximum perimeter of ABCD?
I'm really clueless about this, I don't even know how to begin. How am I supposed to represent the edges?
Thanks