Its Simple mathematics buddy.
16/9 = 1.78
7/5 = 1.40
It means that if you use the entire screen's height for a 16:9 programme/movie, your image's width will exceed the border by the excess factor of 1.78 over 1.40.
As a result to adjust your image somehow on your screen as big and as wide as possible, you will try to fit the source programme's width instead on your screen. Now its quite obvious the reverse will happen- the resulting height of image will be less than your screen's height and your screen will show some blank area either at top/bottom.
Your screen is closer to 4:3 screen because 4/3 = 1.33 which is closer to 1.40 than 1.78
This is the reason Aquarian and myself bought the 7*4 screen. You see 7/4 = 1.75. This is as close to 1.78 as it can get. very very minimal screen area gets blank, coverable easily by a black tape/cloth/paper.
EDIT: I noted later that the issue was explained well by hydrovac. I still hope this helps.