2013 Pascal Problem 19

The rectangular flag shown is divided into seven stripes of equal height. The height of the flag is h and the length of the flag is twice its height. The total area of the four shaded regions is 1400 cm^2. What is the height of the flag?

\textbf{(A)}\ 70\ \text{cm}\quad \textbf{(B)}\ 200\ \text{cm}\quad \textbf{(C)}\ 35\ \text{cm}\quad \textbf{(D)}\ 1225\ \text{cm}\quad \textbf{(E)}\ 14\ \text{cm}

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Pascal contests here.