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

Question 1009273: 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 josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
w for width, y for height;
Express the ratios as w/y for "width to height". This is . Further, applies to each of the TVs.

Each TV can be cut along a diagonal to form two right triangles, of legs w and y, and the diagonal is hypotenuse.

The 42 inch, $420 TV

-
Use the aspect ratio again.

-
The area for this TV screen is

square inches
-
The cost per square inch is .

The 50 inch, $550 TV
Can you do this one?
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