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Widescreen vs traditional (Posted on 2007-02-23) Difficulty: 2 of 5
The width:height ratio of a television screens is changing from the traditional 4:3 to the widescreen 16:9. If a traditional screen and a widescreen have the same area, then what is the ratio widescreen width:traditional width (Assume that television screens are rectangles).

No Solution Yet Submitted by Ansh    
Rating: 1.0000 (2 votes)

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Solution Solution | Comment 2 of 5 |

Let the respective  width and the height of the traditional screens be 4x and 3x; while the  respective  width and the height of the wide screens be 16y and 9y.
Then, by conditions of the problem:
Area (Traditional Screens) = Area (Wide Screens)
Or, 4x*3x = 16y*9y
Or, x^2/y^2 = 12, giving x/y = 2 *sqrt(3), so that:
Width (Wide Screen)/ Width (Traditional Screen)

 = (16y)/(4x)

= 4/(x/y)

= 2/ sqrt(3)
= 1.15470054/1

Edited on February 23, 2007, 11:00 am

Edited on February 24, 2007, 10:25 pm
  Posted by K Sengupta on 2007-02-23 10:59:48

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