Find the width and height of a newer 65" television screen with an aspect
ratio of 16:9.

see below

Step-by-step 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

what's the question?

step-by-step explanation:

there is no question.