document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=946751>Question 946751</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the width of a rectangle is 40 cm less than its perimeter. The rectangle's are is 102 square cm. find the dementions </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #577575 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39628)</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=577575\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ASSIGN VARIABLES<BR>\n" );
document.write( "w, width of rectangle<BR>\n" );
document.write( "L, length of rectangle<BR>\n" );
document.write( "p, perimeter of rectangle<BR>\n" );
document.write( "A, area of rectangle<BR>\n" );
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document.write( "A=102<BR>\n" );
document.write( "w=p-40<BR>\n" );
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document.write( "UNKNOWNS:  w and L.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28w=p-40%2C2w%2B2L=p%2CwL=A%29 ALIGN=MIDDLE  ALT=\"system%28w=p-40%2C2w%2B2L=p%2CwL=A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Note that although p is unknown, it can be eliminated using the w equation<BR>\n" );
document.write( "and the p equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=p-40 ALIGN=MIDDLE  ALT=\"w=p-40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%2B40=p ALIGN=MIDDLE  ALT=\"w%2B40=p\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Equate the two expressions for p;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%2B40=2w%2B2L ALIGN=MIDDLE  ALT=\"w%2B40=2w%2B2L\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Simplify<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40=w%2B2L ALIGN=MIDDLE  ALT=\"40=w%2B2L\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%2B2L=40 ALIGN=MIDDLE  ALT=\"w%2B2L=40\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The simpler equivalent system without p is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28w%2B2L=40%2CwL=A%29 ALIGN=MIDDLE  ALT=\"system%28w%2B2L=40%2CwL=A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Substitute for w in the area A equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2840-2L%29L=A ALIGN=MIDDLE  ALT=\"%2840-2L%29L=A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "simplify<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40L-2L%5E2-A=0 ALIGN=MIDDLE  ALT=\"40L-2L%5E2-A=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-40L%2B2L%5E2%2BA=0 ALIGN=MIDDLE  ALT=\"-40L%2B2L%5E2%2BA=0\"   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%282L%5E2-40L%2BA=0%29 ALIGN=MIDDLE  ALT=\"highlight_green%282L%5E2-40L%2BA=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Substituting the given value now for A would be convenient.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2L%5E2-40L%2B102=0 ALIGN=MIDDLE  ALT=\"2L%5E2-40L%2B102=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5E2-20L%2B51=0 ALIGN=MIDDLE  ALT=\"L%5E2-20L%2B51=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "FACTORABLE.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28L-3%29%28L-17%29=0 ALIGN=MIDDLE  ALT=\"%28L-3%29%28L-17%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "EITHER <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28L=3%29 ALIGN=MIDDLE  ALT=\"highlight%28L=3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  OR  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28L=17%29 ALIGN=MIDDLE  ALT=\"highlight%28L=17%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Find width, w, using the earlier found formula from the process,<BR>\n" );
document.write( "w=40-2L:<BR>\n" );
document.write( "EITHER <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28w=34%29 ALIGN=MIDDLE  ALT=\"highlight%28w=34%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  OR  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28w=6%29 ALIGN=MIDDLE  ALT=\"highlight%28w=6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "SUMMARY OF SOLUTIONS<BR>\n" );
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document.write( "The dimensions are either   3 & 34, or  17 & 6.<BR>\n" );
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