document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=122745>Question 122745</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve.\r<BR>\n" );
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document.write( "The length of a rectangle is 1 cm longer than it's width. If the diagonal of the rectangle is 4 cm, what are the dimensions (length and width) 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 #90150 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20855)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=90150\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "The length <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L ALIGN=MIDDLE  ALT=\"L\"   DISABLED_style= \"max-width:90%; height:auto;\" > of a rectangle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+cm ALIGN=MIDDLE  ALT=\"1+cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > longer than it's width <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W ALIGN=MIDDLE  ALT=\"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+=+W+%2B+1cm ALIGN=MIDDLE  ALT=\"L+=+W+%2B+1cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the diagonal <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d ALIGN=MIDDLE  ALT=\"d\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the rectangle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4+cm ALIGN=MIDDLE  ALT=\"4+cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "find: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L ALIGN=MIDDLE  ALT=\"L\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W ALIGN=MIDDLE  ALT=\"W\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "use Pythagorean Theorem \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5E2+=+L%5E2+%2B+W%5E2 ALIGN=MIDDLE  ALT=\"d%5E2+=+L%5E2+%2B+W%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=%284+cm+%29%5E2+=+%28W+%2B+1cm+%29%5E2+%2B+W%5E2 ALIGN=MIDDLE  ALT=\"%284+cm+%29%5E2+=+%28W+%2B+1cm+%29%5E2+%2B+W%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=%284+cm+%29%5E2+=+W%5E2+%2B+2W+%2B+1cm%5E2+%2B+W%5E2 ALIGN=MIDDLE  ALT=\"%284+cm+%29%5E2+=+W%5E2+%2B+2W+%2B+1cm%5E2+%2B+W%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=16cm%5E2+=+2W%5E2+%2B+2W+%2B+1cm%5E2+ ALIGN=MIDDLE  ALT=\"16cm%5E2+=+2W%5E2+%2B+2W+%2B+1cm%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=+2W%5E2+%2B+2W+%2B+1cm%5E2+-+16cm%5E2+=+0+ ALIGN=MIDDLE  ALT=\"+2W%5E2+%2B+2W+%2B+1cm%5E2+-+16cm%5E2+=+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=+2W%5E2+%2B+2W+-+15cm%5E2+=+0+ ALIGN=MIDDLE  ALT=\"+2W%5E2+%2B+2W+-+15cm%5E2+=+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=+W+%5B1%2C2%5D=%28-2+%2B-+sqrt+%282%5E2+-4%2A2%2A%28-+15%29+%29%29+%2F+%282%2A2%29 ALIGN=MIDDLE  ALT=\"+W+%5B1%2C2%5D=%28-2+%2B-+sqrt+%282%5E2+-4%2A2%2A%28-+15%29+%29%29+%2F+%282%2A2%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=+W+%5B1%2C2%5D=%28-2+%2B-+sqrt+%284+%2B+120+%29%29+%2F+4 ALIGN=MIDDLE  ALT=\"+W+%5B1%2C2%5D=%28-2+%2B-+sqrt+%284+%2B+120+%29%29+%2F+4\"   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=+W+%5B1%2C2%5D=%28-2+%2B-+sqrt+%28124+%29%29+%2F+4 ALIGN=MIDDLE  ALT=\"+W+%5B1%2C2%5D=%28-2+%2B-+sqrt+%28124+%29%29+%2F+4\"   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=+W+%5B1%2C2%5D=%28-2+%2B-+11.14%29+%2F+4 ALIGN=MIDDLE  ALT=\"+W+%5B1%2C2%5D=%28-2+%2B-+11.14%29+%2F+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >………you need only positive root\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+W+%5B1%5D=%28-2+%2B+11.14%29+%2F+4 ALIGN=MIDDLE  ALT=\"+W+%5B1%5D=%28-2+%2B+11.14%29+%2F+4\"   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=+W+%5B1%5D=+9.14+%2F+4 ALIGN=MIDDLE  ALT=\"+W+%5B1%5D=+9.14+%2F+4\"   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=+W+%5B1%5D=+2.285 ALIGN=MIDDLE  ALT=\"+W+%5B1%5D=+2.285\"   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=+W+%5B1%5D=+2.28cm ALIGN=MIDDLE  ALT=\"+W+%5B1%5D=+2.28cm\"   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+=+W+%2B+1cm ALIGN=MIDDLE  ALT=\"L+=+W+%2B+1cm\"   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+=+3.28cm ALIGN=MIDDLE  ALT=\"L+=+3.28cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Check:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284+cm+%29%5E2+=+%283.28cm%29%5E2+%2B+%282.28cm%29%5E2 ALIGN=MIDDLE  ALT=\"%284+cm+%29%5E2+=+%283.28cm%29%5E2+%2B+%282.28cm%29%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=16cm%5E2+=+10.75cm%5E2+%2B+5.19cm%5E2 ALIGN=MIDDLE  ALT=\"16cm%5E2+=+10.75cm%5E2+%2B+5.19cm%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=16cm%5E2+=+15.94+cm%5E2 ALIGN=MIDDLE  ALT=\"16cm%5E2+=+15.94+cm%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=16cm%5E2+=+16+cm%5E2 ALIGN=MIDDLE  ALT=\"16cm%5E2+=+16+cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );