document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1023719>Question 1023719</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello I was hoping for some direction and aid with this problem that I have currently in my Geometry Honors class<BR>\n" );
document.write( "A queen sized mattress is 20 inches longer than it is wide. A king-sized mattress is 16 inches wider than the queen sized mattress but has the same length. The area of the king-sized mattress is 1280 square inches more than that of the queen-sized mattress. <BR>\n" );
document.write( "Part A: Write an equation that can be used to determine the area of the king-sized mattress. Define all variables used. <BR>\n" );
document.write( "Part B: Determine the dimensions of the king-sized and queen-sized mattress. Show your work!\r<BR>\n" );
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document.write( "Thanks in advance, <BR>\n" );
document.write( "Emily </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #639176 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52794)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=639176\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "A queen sized mattress is 20 inches longer than it is wide. A king-sized mattress is 16 inches wider <BR>\n" );
document.write( "than the queen sized mattress but has the same length. The area of the king-sized mattress is 1280 square inches <BR>\n" );
document.write( "more than that of the queen-sized mattress. <BR>\n" );
document.write( "Part A: Write an equation that can be used to determine the area of the king-sized mattress. Define all variables used. <BR>\n" );
document.write( "Part B: Determine the dimensions of the king-sized and queen-sized mattress. Show your work!\r<BR>\n" );
document.write( "\n" );
document.write( "Thanks in advance, <BR>\n" );
document.write( "Emily<BR>\n" );
document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r<BR>\n" );
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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;\">\r\n" );
document.write( "Let x = width of the queen sized mattress.\r\n" );
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document.write( "Then the queen sized mattress is x*(x+20) inches square.\r\n" );
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document.write( "The king sized mattress is (x+16)*(x+20) inches square.\r\n" );
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document.write( "Your equation is \r\n" );
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document.write( "(x+16)*(x+20) - x*(x+20) = 1280.\r\n" );
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document.write( "Simplify it, taking out (x+20) factor first:\r\n" );
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document.write( "(x+20)*(x + 16 - x) = 1280,\r\n" );
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document.write( "16*(x+20) = 1280,\r\n" );
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document.write( "x + 20 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1280%2F16 ALIGN=MIDDLE  ALT=\"1280%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 80,\r\n" );
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document.write( "x = 80-20 = 60.\r\n" );
document.write( "</PRE><BR>\n" );
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