Answer:
see below
Explanation:
65 inches is the diameter of the screen
We have a right triangle for a tv with the side length of 16x and 9x
Using the Pythagorean theorem
a^2 +b^2 = c^2
(16x)^2 + (9x)^2 = 65^2
256x^2+ 81x^2 = 4225
Combine like terms
337x^2 = 4225
Divide each side by 337
x^2 =4225/37
Take the square root of each side
x =65sqrt(337)/337
x =3.54077562
The width is 16 times this
width =56.65240991
height is 9 times this
height = 31.86698058