SOLUTION: I am very stuck. I can't figure out how to solve this. I know it involves pythagorean theorem, but I don't know how to solve it without legs. Can you help me, please? There

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Question 1009163: I am very stuck. I can't figure out how to solve this. I know it involves pythagorean theorem, but I don't know how to solve it without legs. Can you help me, please?
There are two tvs of different sizes. One is a 42" diagonal TV that costs $420, the other is a 50" diagonal tv that costs $550. The aspect ratio of each is 16:9, width to height. What is the cost per square inch of each tv?
Thank you in advance!

Answer by ikleyn(52794)   (Show Source): You can put this solution on YOUR website!
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There are two tvs of different sizes. One is a 42" diagonal TV that costs $420, the other is a 50" diagonal tv that costs $550.
The aspect ratio of each is 16:9, width to height. What is the cost per square inch of each tv?
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You need to find the area of each tv screen. 

Let x and y be the horizontal and vertical dimensions of the first tv respectively (in inches).

Then you have two equations:

 = ,

 = .

Solve this system, and then you will be in position to calc the area of this tv S1 = xy.

Then do the same for the second tv screen.

In this way you will be able to complete the solution.

The rest is on you.


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