document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=930973>Question 930973</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the diagonal and the longer side of a rectangular plot are together three times the length of the shorter side, if the longer side exceeds the shorter side by 120 feet, what is the area of the plot? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #565385 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=565385\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> d for diagonal; y and x the sides, y is longer side.\r<BR>\n" );
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document.write( "d+y=3x;  y-x=120.<BR>\n" );
document.write( "x and y also form two right triangles since x and y form a rectangle.<BR>\n" );
document.write( "x^2+y^2=d^2.\r<BR>\n" );
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document.write( "System:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28d%2By=3x%2Cy-x=120%2Cx%5E2%2By%5E2=d%5E2%29 ALIGN=MIDDLE  ALT=\"system%28d%2By=3x%2Cy-x=120%2Cx%5E2%2By%5E2=d%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "More than one way to go to solve the system, but you are mostly interested in x and y.  The area will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy ALIGN=MIDDLE  ALT=\"xy\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Try focusing first on eliminating d from the quadratic equation and then eliminate either x or y from the quadratic equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=3x-y ALIGN=MIDDLE  ALT=\"d=3x-y\"   DISABLED_style= \"max-width:90%; height:auto;\" > from first equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2=%283x-y%29%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2=%283x-y%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > when substituted.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2=9x%5E2-6xy%2By%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2=9x%5E2-6xy%2By%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Notice <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2 ALIGN=MIDDLE  ALT=\"y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is shown on both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=9x%5E2-6xy ALIGN=MIDDLE  ALT=\"x%5E2=9x%5E2-6xy\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=8x%5E2-6xy ALIGN=MIDDLE  ALT=\"0=8x%5E2-6xy\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%284x%5E2-3xy=0%29 ALIGN=MIDDLE  ALT=\"highlight_green%284x%5E2-3xy=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now, use the second equation of the system to eliminate y in this simplified quadratic equation, and solve for x. </SPAN>\n" );
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