1.
Apply Pythagorean theorem:
60^2 = 16x^2+ (9x)^2
3600 = 256x^2+81x^2
3600 = 337 x^2
3600/337 = x^2
10.68 =x^2
√10.68 = x
x =3.27
2..
Width: 16 (3.27) = 52.32
heigth: 9 (3.27)= 29.43
Area : Width x heigth: 52.32 x 29.43 = 1,539.77 in2
3.
heigth of image = width/ ratio = 52.37/3 = 17.46 in
4. width of the image = same as tv = 52.32 in
5. Area of movie image = width x height = 52.32 x 17.46 = 913.507
6. (Area of image / area of tv) *100
913.507/1539.77 = 0.59 x 100 =59%
7. height of one black bar:
(Height of tV - height of image)/2
29.43-17.46 = 11.97/2 =5.985 in
8. 5.985 x 52.32 = 313.1352in2