document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=527520>Question 527520</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the area of a rectangle that is 5 inches longer than it is wide and if you double the length and subtract 2 inches from the width the area is increased by 52 inches squared?\r<BR>\n" );
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document.write( "I tried...<BR>\n" );
document.write( "(x-2)(2x+10)=x^2+5x+52<BR>\n" );
document.write( "but I don't thin Im setting it up right...\r<BR>\n" );
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document.write( "Can you help me set it up? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #348930 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=348930\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You are properly setting it up.<BR>\n" );
document.write( "The original rectangle has a width that you called <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and we should add a requirement that it should be a real number, and that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E0 ALIGN=MIDDLE  ALT=\"x%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The length of the original rectangle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B5 ALIGN=MIDDLE  ALT=\"x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Its area is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%28x%2B5%29=x%5E2%2B5x ALIGN=MIDDLE  ALT=\"%28x%28x%2B5%29=x%5E2%2B5x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The new rectangle has a length of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x%2B5%29=2x%2B10 ALIGN=MIDDLE  ALT=\"2%28x%2B5%29=2x%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a width of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2 ALIGN=MIDDLE  ALT=\"x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(so we are also going to ask for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E2 ALIGN=MIDDLE  ALT=\"x%3E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "The area of the new rectangle is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%282x%2B10%29=2x%5E2%2B6x-20 ALIGN=MIDDLE  ALT=\"%28x-2%29%282x%2B10%29=2x%5E2%2B6x-20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Your equation transforms into<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2B6x-20=x%5E2%2B5x%2B52 ALIGN=MIDDLE  ALT=\"2x%5E2%2B6x-20=x%5E2%2B5x%2B52\"   DISABLED_style= \"max-width:90%; height:auto;\" > and into<BR>\n" );
document.write( "(((x^2+x-72=0}}}<BR>\n" );
document.write( "which can be solved by factoring, or by completing the square, or by using the quadratic formula.<BR>\n" );
document.write( "One of the solutions for x is negative. The other solution is the width of the original rectangle, which you would need to use to find the area of the original rectangle. </SPAN>\n" );
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