document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=880432>Question 880432</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of a rectangle is 10 feet longer than it is wide. If each side is increased 10 feet, then the area is multiplied by 2. What was the size of the original rectangle? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #531484 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=531484\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> w and L, width and length.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=10%2Bw ALIGN=MIDDLE  ALT=\"L=10%2Bw\"   DISABLED_style= \"max-width:90%; height:auto;\" >, for the first part of the description.\r<BR>\n" );
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document.write( "Each side is increased by 10 feet.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%2B10 ALIGN=MIDDLE  ALT=\"w%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" > the increased width;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%2B10=10%2B%28w%2B10%29=w%2B20 ALIGN=MIDDLE  ALT=\"L%2B10=10%2B%28w%2B10%29=w%2B20\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the increased length.\r<BR>\n" );
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document.write( "The increased dimensions makes area become <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2wL ALIGN=MIDDLE  ALT=\"2wL\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the area of the original rectangle multiplied by 2.\r<BR>\n" );
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document.write( "Find original w and L.\r<BR>\n" );
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document.write( "Original area, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=wL=w%28w%2B10%29=w%5E2%2B10w ALIGN=MIDDLE  ALT=\"wL=w%28w%2B10%29=w%5E2%2B10w\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Increased area, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28w%2B10%29%28L%2B10%29=%28w%2B10%29%28w%2B20%29=w%5E2%2B30w%2B20 ALIGN=MIDDLE  ALT=\"%28w%2B10%29%28L%2B10%29=%28w%2B10%29%28w%2B20%29=w%5E2%2B30w%2B20\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "We were given that increased area equals two times the original area:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28w%5E2%2B30w%2B20=2%28w%5E2%2B10w%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28w%5E2%2B30w%2B20=2%28w%5E2%2B10w%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5E2%2B30w%2B20=2w%5E2%2B40w ALIGN=MIDDLE  ALT=\"w%5E2%2B30w%2B20=2w%5E2%2B40w\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20=w%5E2%2B10w ALIGN=MIDDLE  ALT=\"20=w%5E2%2B10w\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5E2%2B10w-20=0 ALIGN=MIDDLE  ALT=\"w%5E2%2B10w-20=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "D=100-4*(-20)=100+80=180, sqrt(180)=sqrt(3*6*2*5)=sqrt(3*3*2*2*5)=6sqrt(5).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=%28-10%2B6sqrt%285%29%29%2F2 ALIGN=MIDDLE  ALT=\"w=%28-10%2B6sqrt%285%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Original width, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28w=-5%2B3sqrt%285%29%29 ALIGN=MIDDLE  ALT=\"highlight%28w=-5%2B3sqrt%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=w%2B10 ALIGN=MIDDLE  ALT=\"L=w%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=3sqrt%285%29-5%2B10 ALIGN=MIDDLE  ALT=\"L=3sqrt%285%29-5%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Original length, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28L=3sqrt%285%29%2B5%29 ALIGN=MIDDLE  ALT=\"highlight%28L=3sqrt%285%29%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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