+0  
 
+1
89
1
avatar+70 

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+7072 
+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
 #1
avatar+7072 
+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

15 Online Users

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.