What are the dimensions (width and height) of a 40 inch television that has a aspect ratio of 9-4

Question

asked Sep 18, 2020 30.0k views

1 Answer

Nenad Radak · Answer 1 · 2020-09-24T12:00:11+0000

Answer:

The height of the television is
$36.56\ in$

The width of the television is
$16.25\ in$

Explanation:

Let

x-----> the height of a television

y----> the width of a television

we know that

(x)/(y)=(9)/(4)

x=(9)/(4)y -----> equation A

Applying the Pythagoras Theorem

40^(2)=x^(2)+y^(2) -----> equation B

substitute equation A in equation B

40^(2)=((9)/(4)y)^(2)+y^(2)

1,600=(81)/(16)y^(2)+y^(2)

1,600=(97)/(16)y^(2)

y^(2)=1,600*16/97

$y=16.25\ in$

$x=(9)/(4)(16.25)=36.56\ in$