document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199115>Question 1199115</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Last question for today. \r<BR>\n" );
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document.write( "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<BR>\n" );
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document.write( "Hint given but the textbook:\r<BR>\n" );
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document.write( "If x is the length of a 4 : 3 format screen, then (3x/4)is the width.\r<BR>\n" );
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document.write( "Let me see.\r<BR>\n" );
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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<BR>\n" );
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document.write( "My set up for x goes like this: \r<BR>\n" );
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document.write( "37 = x(3x/4)\r<BR>\n" );
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document.write( "Solving for x, I get 7.024.\r<BR>\n" );
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document.write( "My set up for y goes like this:\r<BR>\n" );
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document.write( "37 = y(9y/16)\r<BR>\n" );
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document.write( "Solving for x,I get 8.11035.\r<BR>\n" );
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document.write( "I see that y > x,meaning the LCD TV screen format is bigger. <BR>\n" );
document.write( "However, according to the textbook,I am wrong.\r<BR>\n" );
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document.write( "Textbook Answer:\r<BR>\n" );
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document.write( "The screen of a 37-inch TV in 4 : 3 format has an area of 657.12 in^2.<BR>\n" );
document.write( "The screen of a 37-inch TV in 16 : 9 format has an area of 587.97 in^2.<BR>\n" );
document.write( "According to the textbook, the traditional TV has the bigger screen.\r<BR>\n" );
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document.write( "Questions:\r<BR>\n" );
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document.write( "1. What did I do wrong?\r<BR>\n" );
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document.write( "2. What is the correct set up for each TV to find the area?\r<BR>\n" );
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document.write( "3.  I have a hard time setting up the correct equation(s) leading to the right answer for most word problems. How can I improve my word problem-Solving skills?.\r<BR>\n" );
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document.write( "Thanks  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #833030 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=833030\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Last question for today. \r<BR>\n" );
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document.write( "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<BR>\n" );
document.write( "\n" );
document.write( "Hint given but the textbook:\r<BR>\n" );
document.write( "\n" );
document.write( "If x is the length of a 4 : 3 format screen, then (3x/4)is the width.\r<BR>\n" );
document.write( "\n" );
document.write( "Let me see.\r<BR>\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<BR>\n" );
document.write( "\n" );
document.write( "My set up for x goes like this: \r<BR>\n" );
document.write( "\n" );
document.write( "37 = x(3x/4)\r<BR>\n" );
document.write( "\n" );
document.write( "Solving for x, I get 7.024.\r<BR>\n" );
document.write( "\n" );
document.write( "My set up for y goes like this:\r<BR>\n" );
document.write( "\n" );
document.write( "37 = y(9y/16)\r<BR>\n" );
document.write( "\n" );
document.write( "Solving for x,I get 8.11035.\r<BR>\n" );
document.write( "\n" );
document.write( "I see that y > x,meaning the LCD TV screen format is bigger. <BR>\n" );
document.write( "However, according to the textbook,I am wrong.\r<BR>\n" );
document.write( "\n" );
document.write( "Textbook Answer:\r<BR>\n" );
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document.write( "The screen of a 37-inch TV in 4 : 3 format has an area of 657.12 in^2.<BR>\n" );
document.write( "The screen of a 37-inch TV in 16 : 9 format has an area of 587.97 in^2.<BR>\n" );
document.write( "According to the textbook, the traditional TV has the bigger screen.\r<BR>\n" );
document.write( "\n" );
document.write( "Questions:\r<BR>\n" );
document.write( "\n" );
document.write( "1. What did I do wrong?\r<BR>\n" );
document.write( "\n" );
document.write( "2. What is the correct set up for each TV to find the area?\r<BR>\n" );
document.write( "\n" );
document.write( "3.  I have a hard time setting up the correct equation(s) leading to the right answer for most word problems. How can I improve my word problem-Solving skills?.\r<BR>\n" );
document.write( "\n" );
document.write( "Thanks <BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\"><font color = red><font size = 4><b><u>THE ERROR</font></font></b></u>\r\n" );
document.write( "For the LCD, you have: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%281%2C3%2C+37%2C+%22=%22%2C+y%289y%2F16%29%29 ALIGN=MIDDLE  ALT=\"matrix%281%2C3%2C+37%2C+%22=%22%2C+y%289y%2F16%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but it should be: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%281%2C3%2C+%2816y%29%5E2+%2B+%289y%29%5E2%2C+%22=%22%2C+37%5E2%29 ALIGN=MIDDLE  ALT=\"matrix%281%2C3%2C+%2816y%29%5E2+%2B+%289y%29%5E2%2C+%22=%22%2C+37%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which gives you: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%284%2C3%2C+256y%5E2+%2B+81y%5E2%2C+%22=%22%2C+%221%2C369%22%2C+337y%5E2%2C+%22=%22%2C+%221%2C369%22%2C+y%5E2%2C+%22=%22%2C+%221%2C369%22%2F337%2C+y%2C+%22=%22%2C+sqrt%28%221%2C369%22%2F337%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r\n" );
document.write( "                                                                                y = 2.01551843 = 2.02 inches (ROUNDED)\r\n" );
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document.write( "16:9 = 16(2.02):9(2.02) = 32.32 by 18.18 (Dimensions)\r\n" );
document.write( "Area of LCD TV: 32.2(18.18) = 587.5776, or 587.58 in<sup>2</sup>.\r\n" );
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document.write( "Using the same concept, find the area of the traditional TV (should be close to the book's answer). Then, compare the areas of the 2.</PRE> </SPAN>\n" );
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