Question

A 16 -inch laptop has a screen that is 7 inches tall. How wide is the screen?

Answer 1

Answer:

Approximately 14.4 inches

Step-by-step explanation:

A 16-inch laptop means that a diagonal across the screen is 16 inches.

Imagine that the laptop is a triangle, with 2 sides: the height and the width of screen, and a hypotenuse, the diagonal across the screen (see attached image).

Here, we can use the Pythagorean theorem to find the width.

The relationship is the following

$diagonal^2 = height^2 + width^2$

We can rearrange this to find the width of the screen:

$diagonal^2 = height^2 + width^2\\diagonal^2 -height^2 = width^2\\width^2 = diagonal^2 -height^2\\width = \sqrt{diagonal^2 - height^2}$

Let's put in our values for the diagonal and the height:

Diagonal = 16

Height = 7

$width = \sqrt{16^2 - 7^2}\\ width = \sqrt{256 - 49} \\width = \sqrt{207}\\width = 14.3874946$

As we can see, the width of our laptop is around 14.4 inches.

Answer: approximately 14.4 inches

Answer 2

The width of the laptop screen is x = 14.3inches.

Given that,

A 16 inch laptop has a screen that is 7 inches tall.

We have to determine,

How wide is the screen.

According to the question,

 Diagonal length of the laptop = 16 inches

Length of the laptop = 7 inches

Width of the laptop = x inches

By using Pythagoras theorem,

$(Diagonal)^2 = (length)^{2} +( width)^{2}\\\\(16)^2 = (7)^2 + x^{2} \\\\x^{2} = 256 - 49\\\\x^{2} = 207\\\\x = \sqrt{207}\\\\x = 14.38 \ inches$

Hence, The width of the laptop screen is x = 14.3inches.

To know about Measurement click the link given below.

https://brainly.com/question/17690582