document.write( "Question 1009282: 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?
\n" ); document.write( "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?
\n" ); document.write( "Thank you in advance! \n" ); document.write( "

Algebra.Com's Answer #624768 by fractalier(6550) $\"\"$ $\"About$

You can put this solution on YOUR website!
For the larger TV, we can call the legs 16x and 9x. Then like you said, using the Pythagorean Theorem, we have
\n" ); document.write( "a^2 + b^2 = c^2
\n" ); document.write( "(16x)^2 + (9x)^2 = 50^2
\n" ); document.write( "256x^2 + 81x^2 = 2500
\n" ); document.write( "337x^2 = 2500
\n" ); document.write( "x^2 = 2500/337 = 7.4184
\n" ); document.write( "x = 2.724
\n" ); document.write( "Then we can multiply that factor by 16 and 9 to get the dimensions of the larger TV and get
\n" ); document.write( "16(2.724) = 43.584
\n" ); document.write( "9(2.724) = 24.516
\n" ); document.write( "To find the area, we multiply these and get
\n" ); document.write( "A = LW = 1068.5 in^2
\n" ); document.write( "Divide $550 by that and get
\n" ); document.write( "$0.5147 per square inch.
\n" ); document.write( "Now repeat that exact same procedure, using the smaller TV. \n" ); document.write( "

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