document.write( "Question 499034: The screen size of a television is determined by the length of the diagonal of the rectangular screen. Traditional TVs come in a 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? So far I tried to get the traditional tv's dimension with the pythagorean theorem. so it was X^2 + (3/4)X^2 = 37^2 (X= length) and my final answer was X= 48.95 but when i got the area it was wrong. \n" ); document.write( "
Algebra.Com's Answer #337341 by cleomenius(959)\"\" \"About 
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In this case since we know the ratio, we will modify the pathogorean formula to account for the ratio.\r
\n" ); document.write( "\n" ); document.write( "\"%284%2Ax%29%5E2\" + \"%283%2Ax%29%5E2\" = 37^2
\n" ); document.write( "\"%284%2Ax%29%5E2\" + \"%283%2Ax%29%5E2\" = 1369
\n" ); document.write( "16 * \"x%5E2\" + 9 * \"x%5E2\" = 1369
\n" ); document.write( "25\"x%5E2\" = 1369
\n" ); document.write( "\"x%5E2\" = 54.76
\n" ); document.write( "x = 7.4
\n" ); document.write( "7.4 * 3 = 22.2
\n" ); document.write( "7.4 * 4 = 29.6
\n" ); document.write( "\"22.2%5E2\" + \"29.6%5E2\" = 1369
\n" ); document.write( "492.84 + 876.16 = 1369
\n" ); document.write( "This does check.
\n" ); document.write( "The area will be 22.2 inches* 29.6 inches = 657.12 inches.
\n" ); document.write( "==============================================================
\n" ); document.write( "\"%289%2Ax%29%5E2\" + \"%2816%2Ax%29%5E2\" = 37^2
\n" ); document.write( "\"%289%2Ax%29%5E2\" + \"%2816%2Ax%29%5E2\" = 1369
\n" ); document.write( "81 * \"x%5E2\" + 256 * \"x%5E2\" = 1369
\n" ); document.write( "337\"x%5E2\" = 1369
\n" ); document.write( "\"x%5E2\" = 4.06
\n" ); document.write( "x = 2.0
\n" ); document.write( "2 * 9 = 18
\n" ); document.write( "2 * 16 = 32
\n" ); document.write( "\"18%5E2\" + \"32%5E2\" = 1369
\n" ); document.write( "324+ 1024= 1368 (round off error)
\n" ); document.write( "This does check.
\n" ); document.write( "The area will be 18 inches * 32 inches = 576 inches
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\n" ); document.write( "Cleomenius
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