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

Answer:

$Width = 36in$

$Size = 42.02$

Step-by-step 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

$\frac{16}{ 9} = \frac{x }{ 20.6}$

Solve for x

$x = 20.6 * \frac{16}{ 9}$

$x = 36.62$

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