Question

The aspect ratio (the ratio of screen width to

height) of a rectangular flat-screen television is
16:9. The length of the diagonal of the screen
the television's screen 12c. Determine and wate. to
the nearest inch, the screen size (diagonal) of this
Mat-screen television
with a screen height of 20.6
inches

Answer 1

`Width = 36in`

`Size = 42.02`

Explanation:

Given

`x \to width`

`y \to height`

`x : y = 16 : 9`

Required

The size of
`screen` of height
`20,6in`

First, we calculate the width using the following equivalent ratios

`16: 9 = x : 20.6`

Express as fraction

`(16)/( 9) = (x )/( 20.6)`

Solve for x

`x = 20.6 * (16)/( 9)`

`x = 36.62`

Hence:

`Width = 36in` --- approximated

So, we have:

`x = 36.62`

`y =20.6`

The size (diagonal) is then calculated using:

`Size = \sqrt{x^2 + y^2`

`Size = \sqrt{36.62^2 + 20.6^2`

`Size = \sqrt{1765.3844`

`Size = 42.02`

`Size =42in` --- approximated