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The size of a computer monitor is usually given by length of its diagonal.A monitor's aspect ratio is the ratio of its width to its height .This monitor has a diagonal length of 19 inches and an aspect ratio of 5:4 .What are the width and height of the monitor? Round to the nearest tenth of an inch

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Answer:

The Length of monitor is 14.84 inches And Width of monitor is 11.87

Step-by-step explanation:

Given as :

The length of diagonal of rectangular monitor = 19 inches

The length to width ratio is 5:4

So , Let the Length of monitor = 5x

and The Width of monitor  = 4x

Now, From Pythagoras theorem

(Diagonal)² = Length² + width²

Or, 19² = (5x)² + (4x)²

Or, 361 = 25x² + 16x²

Or, 41x² = 361

So, x² = 8.804

∴  x = [tex]\sqrt{8.804}[/tex] = 2.967 inches

So, The length = 5x = 14.835 inches

And The width = 4x = 11.868 inches

Hence The Length of monitor is 14.84 inches And Width of monitor is 11.87 Answer

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