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A computer monitor is 20 inches wide. The aspect ratio is 16:9. What is the length of the diagonal of the screen to the nearest whole inch?

whosmans  Mar 23, 2018

Best Answer 

 #1
avatar+6943 
+2

The aspect ratio of a computer monitor is given as width : height.   So....

 

width : height  =  16 :9

 

We are given that the width is 20 inches

Let the height be  h  inches.

 

20 inches : h inches  =  16 : 9

 

20 : h  =  16 : 9

                              This means the same as..

20 / h  =  16 / 9

                              Multiply both sides of the equation by  h .

20  =  h * 16/9

                              Multiply both sides of the equation by  9/16 .

20 * 9/16  =  h

 

11.25  =  h

 

Now we can use the Pythagorean Theorem to find the length of the diagonal.

 

(width)2 + (height)2  =  (length of diagonal)2

 

202 + 11.252  =  (length of diagonal)2

 

400 + 126.5625  =  (length of diagonal)2

 

526.5625  =  (length of diagonal)2

 

√526.5625  =  length of diagonal

 

length of diagonal   ≈   23  inches

hectictar  Mar 23, 2018
Sort: 

1+0 Answers

 #1
avatar+6943 
+2
Best Answer

The aspect ratio of a computer monitor is given as width : height.   So....

 

width : height  =  16 :9

 

We are given that the width is 20 inches

Let the height be  h  inches.

 

20 inches : h inches  =  16 : 9

 

20 : h  =  16 : 9

                              This means the same as..

20 / h  =  16 / 9

                              Multiply both sides of the equation by  h .

20  =  h * 16/9

                              Multiply both sides of the equation by  9/16 .

20 * 9/16  =  h

 

11.25  =  h

 

Now we can use the Pythagorean Theorem to find the length of the diagonal.

 

(width)2 + (height)2  =  (length of diagonal)2

 

202 + 11.252  =  (length of diagonal)2

 

400 + 126.5625  =  (length of diagonal)2

 

526.5625  =  (length of diagonal)2

 

√526.5625  =  length of diagonal

 

length of diagonal   ≈   23  inches

hectictar  Mar 23, 2018

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