Question

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

Answer 1

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`