document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=140784>Question 140784</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The diagonal of a rectangle platform is square root of 20 cm. If both dimensions are increased by 2 cm, then the resulting perimeter would be 5/3 of the original perimeter. Find the dimensions of the rectangle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #102530 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=102530\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the diagonal is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2820%29 ALIGN=MIDDLE  ALT=\"sqrt%2820%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5E2%2BW%5E2=20 ALIGN=MIDDLE  ALT=\"L%5E2%2BW%5E2=20\"   DISABLED_style= \"max-width:90%; height:auto;\" >, thank you Mr. Pythagoras.\r<BR>\n" );
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document.write( "The original perimeter is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2L+%2B+2W ALIGN=MIDDLE  ALT=\"2L+%2B+2W\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the larger perimeter is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28L%2B2%29%2B2%28W%2B2%29 ALIGN=MIDDLE  ALT=\"2%28L%2B2%29%2B2%28W%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but the larger is 5/3 of the smaller so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F3%29%282L+%2B+2W%29=2%28L%2B2%29%2B2%28W%2B2%29 ALIGN=MIDDLE  ALT=\"%285%2F3%29%282L+%2B+2W%29=2%28L%2B2%29%2B2%28W%2B2%29\"   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=5%282L+%2B+2W%29=6%28L%2B2%29%2B6%28W%2B2%29 ALIGN=MIDDLE  ALT=\"5%282L+%2B+2W%29=6%28L%2B2%29%2B6%28W%2B2%29\"   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=10L%2B10W=6L%2B6W%2B24 ALIGN=MIDDLE  ALT=\"10L%2B10W=6L%2B6W%2B24\"   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=4L%2B4W=24 ALIGN=MIDDLE  ALT=\"4L%2B4W=24\"   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=L%2BW=6 ALIGN=MIDDLE  ALT=\"L%2BW=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > or better for our purposes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=6-W ALIGN=MIDDLE  ALT=\"L=6-W\"   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=L%5E2%2BW%5E2=20 ALIGN=MIDDLE  ALT=\"L%5E2%2BW%5E2=20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286-W%29%5E2%2BW%5E2=20 ALIGN=MIDDLE  ALT=\"%286-W%29%5E2%2BW%5E2=20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36-12W%2BW%5E2%2BW%5E2-20=0 ALIGN=MIDDLE  ALT=\"36-12W%2BW%5E2%2BW%5E2-20=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2W%5E2-12W%2B16=0 ALIGN=MIDDLE  ALT=\"2W%5E2-12W%2B16=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5E2-6W%2B8=0 ALIGN=MIDDLE  ALT=\"W%5E2-6W%2B8=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Factors:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28W-4%29%28W-2%29=0 ALIGN=MIDDLE  ALT=\"%28W-4%29%28W-2%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So W = 4 or W = 2, meaning L = 2 or L = 4.\r<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%284%5E2%2B2%5E2%29=sqrt%2816%2B4%29=sqrt%2820%29 ALIGN=MIDDLE  ALT=\"sqrt%284%5E2%2B2%5E2%29=sqrt%2816%2B4%29=sqrt%2820%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%284%29%2B2%282%29=8%2B4=12 ALIGN=MIDDLE  ALT=\"2%284%29%2B2%282%29=8%2B4=12\"   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=12%2A%285%2F3%29+=+20 ALIGN=MIDDLE  ALT=\"12%2A%285%2F3%29+=+20\"   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=2%286%29%2B2%284%29=12%2B8=20 ALIGN=MIDDLE  ALT=\"2%286%29%2B2%284%29=12%2B8=20\"   DISABLED_style= \"max-width:90%; height:auto;\" > Checks. </SPAN>\n" );
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