document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1148799>Question 1148799</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the perimeters of two squares is 80 in., and the area of one is 3 times the area of the other. Find the side length of each square. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #770135 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=770135\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x be side length small square<BR>\n" );
document.write( "and let y be side length of big square.\r<BR>\n" );
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document.write( "This means  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%284x%2B4y=80%2Cand%2Cy%5E2=3x%5E2%29 ALIGN=MIDDLE  ALT=\"system%284x%2B4y=80%2Cand%2Cy%5E2=3x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Simpler system  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=20%2Cy%5E2%2B3x%5E2 ALIGN=MIDDLE  ALT=\"x%2By=20%2Cy%5E2%2B3x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=20-x ALIGN=MIDDLE  ALT=\"y=20-x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2=%2820-x%29%5E2=400-40x%2Bx%5E2 ALIGN=MIDDLE  ALT=\"y%5E2=%2820-x%29%5E2=400-40x%2Bx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=400-40x%2Bx%5E2=3x%5E2 ALIGN=MIDDLE  ALT=\"400-40x%2Bx%5E2=3x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200-20x=x%5E2 ALIGN=MIDDLE  ALT=\"200-20x=x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B20x-200=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B20x-200=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-20%2Bsqrt%28400%2B4%2A200%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%28-20%2Bsqrt%28400%2B4%2A200%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28x=-10%2B10sqrt%283%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28x=-10%2B10sqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, edge length of smaller square;  use it to find y.\r<BR>\n" );
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document.write( "-----------------------------------------------------mistake-------------------<BR>\n" );
document.write( "Simplified, system is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x%2By=20%2Cand%2Cy%5E2=3x%5E2%29 ALIGN=MIDDLE  ALT=\"system%28x%2By=20%2Cand%2Cy%5E2=3x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Subst for x and simplify,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2-60y%2B600=0 ALIGN=MIDDLE  ALT=\"y%5E2-60y%2B600=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%28y=60-10sqrt%283%29%29 ALIGN=MIDDLE  ALT=\"cross%28y=60-10sqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%28y=60%2B10sqrt%283%29%29 ALIGN=MIDDLE  ALT=\"cross%28y=60%2B10sqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and you can find any corresponding x values. </SPAN>\n" );
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