Question

A computer monitor is 20 inches wide. The aspect ratio, which is the ratio of the width of the screen to the height of the screen, is16: 9.

What is the length of the diagonal of the screen, to the nearest whole inch?
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Answer 1

23

Explanation

16/9=width/height

20 is the width of the computer monitor so you would put width as 20

20/x then you would cross multiply to find the height which is x.

20 x 9=180

Then you would divide 180 by 16.

180/16=11.25

So now you have the width and the height 20/11.25=width/height

Then you do the pythagorean theorem a^2+b^2=c^2=20^2+11.25^2=526.5.6^2.Then you would round you answer to get 526.6 Then you would find the square root of 526.6 which is 22.9. Then you would round the answer to get 23.