Interesting math question...

[jay47]

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Okay, I'm shopping for monitors, but I thought I'd give you guys an interesting math question, just for practice....

Suppose I have two monitors, one 19" and one 22" (diagonally measured), both with 16:9 aspect ratios.

By what percentage does the total viewable area increase from the first monitor to the second?

Must show work for credit, lol.

 

[Streetwolf]

Long way: Come up with a system of equations to find the length/width of both monitors. Then find the area of both monitors. Then compute the % increase.

Short way: Scroll down if you don't want to do it yourself.


























































Realize that since the aspect ratio (length/width) is the same for both, we're working with congruent triangles. Both the length and width are being increased by the same amount. Instead of computing those, we can work with the diagonal. Just remember that we need the diagonal squared since area is 2D.

19^2 = 361.
22^2 = 484.

484 - 361 = 123 which is the increase.

Thus 123/361 * 100% is our % increase which is about 34.07%.

 

[karrotcake]

i scrolled 😀