document.write( "Question 1199156: The screen size of a television is determined by the length of the diagonal of the rectangular screen. Traditional TVs come in 4 : 3 format, meaning the ratio of the length to the width of the rectangular screen is 4 to 3. What is the area of a 37-inch Traditional TV screen? What is the area of a 37-inch LCD TV whose screen is in a 16 : 9 format? Which screen is larger?\r
\n" ); document.write( "\n" ); document.write( "Hint given but the textbook:
\n" ); document.write( "If x is the length of a 4 : 3 format screen, then (3x/4)is the width.\r
\n" ); document.write( "\n" ); document.write( "Let me see.\r
\n" ); document.write( "\n" ); document.write( "I know what x represents. I will say let y = length of a 16 : 9 format screen. If this is true, then 9y/16 is the width.\r
\n" ); document.write( "\n" ); document.write( "My set up for x goes like this:
\n" ); document.write( "37 = x(3x/4)
\n" ); document.write( "Solving for x, I get 7.024.\r
\n" ); document.write( "\n" ); document.write( "My set up for y goes like this:
\n" ); document.write( "37 = y(9y/16)
\n" ); document.write( "Solving for y,I get 8.11035.\r
\n" ); document.write( "\n" ); document.write( "I see that y > x,meaning the LCD TV screen format is bigger.
\n" ); document.write( "However, according to the textbook,I am wrong.\r
\n" ); document.write( "\n" ); document.write( "Textbook Answer:\r
\n" ); document.write( "\n" ); document.write( "The screen of a 37-inch TV in 4 : 3 format has an area of 657.12 in^2.
\n" ); document.write( "The screen of a 37-inch TV in 16 : 9 format has an area of 587.97 in^2.
\n" ); document.write( "According to the textbook, the traditional TV has the bigger screen.\r
\n" ); document.write( "\n" ); document.write( "Questions:\r
\n" ); document.write( "\n" ); document.write( "1. What did I do wrong?
\n" ); document.write( "2. What is the correct set up for each TV to find the area?
\n" ); document.write( " 
\n" ); document.write( "

Algebra.Com's Answer #832858 by josgarithmetic(39616)\"\" \"About 
You can put this solution on YOUR website!
4:3 dimensions ratio\r
\n" ); document.write( "\n" ); document.write( "say 4n by 3n inches-square\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%284n%29%5E2%2B%283n%29%5E2=37%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"16n%5E2%2B9n%5E2=37%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"25n%5E2=37%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"5n=37\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"n=37%2F5\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Length \"4%2837%2F5%29\"
\n" ); document.write( "Width \"3%2837%2F5%29\"
\n" ); document.write( "
\n" );