document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=108496>Question 108496</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the width of a rectangle is 2 units less than its length. if the diagonal of the rectangle is 10 units long, 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 #79125 by </B><A HREF=/tutors/aboutme.mpl?userid=HyperBrain><B>HyperBrain(694)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=HyperBrain><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=79125\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The Phytagorean Theorem can be applied!\r<BR>\n" );
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document.write( "Let a=x(the length)<BR>\n" );
document.write( "____b=x-2(the width)<BR>\n" );
document.write( "____c=10\r<BR>\n" );
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document.write( "Thus,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B%28x-2%29%5E2=10%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2B%28x-2%29%5E2=10%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%2B%28x%28x-2%29-2%28x-2%29%29=100 ALIGN=MIDDLE  ALT=\"x%5E2%2B%28x%28x-2%29-2%28x-2%29%29=100\"   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%2B%28%28x%5E2-2x%29-%282x-4%29%29=100 ALIGN=MIDDLE  ALT=\"x%5E2%2B%28%28x%5E2-2x%29-%282x-4%29%29=100\"   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%2B%28x%5E2-2x-2x-4%29=100 ALIGN=MIDDLE  ALT=\"x%5E2%2B%28x%5E2-2x-2x-4%29=100\"   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%2Bx%5E2-4x-4=100 ALIGN=MIDDLE  ALT=\"x%5E2%2Bx%5E2-4x-4=100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2-4x-4=100 ALIGN=MIDDLE  ALT=\"2x%5E2-4x-4=100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2-4x-104=0 ALIGN=MIDDLE  ALT=\"2x%5E2-4x-104=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "By the quadratic formula,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%284%2B-sqrt%284%5E2-4%2A2%2A%28-104%29%29%29%2F%282%2A2%29 ALIGN=MIDDLE  ALT=\"x=%284%2B-sqrt%284%5E2-4%2A2%2A%28-104%29%29%29%2F%282%2A2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%284%2B-sqrt%2816%2B832%29%29%2F%284%29 ALIGN=MIDDLE  ALT=\"x=%284%2B-sqrt%2816%2B832%29%29%2F%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%284%2B-sqrt%28848%29%29%2F%284%29 ALIGN=MIDDLE  ALT=\"x=%284%2B-sqrt%28848%29%29%2F%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%284%2B-+29.120439557122%29%2F%284%29 ALIGN=MIDDLE  ALT=\"x=%284%2B-+29.120439557122%29%2F%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We will eliminate the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%284-29.120439557122%29%2F%284%29 ALIGN=MIDDLE  ALT=\"x=%284-29.120439557122%29%2F%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > part 'coz it will be only negative---an impossible result\r<BR>\n" );
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document.write( "Continuing,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%284%2B29.120439557122%29%2F%284%29=33.120439557122%2F4=8.2801098892805 ALIGN=MIDDLE  ALT=\"x=%284%2B29.120439557122%29%2F%284%29=33.120439557122%2F4=8.2801098892805\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Thus, the length is 8.2801098892805 units long\r<BR>\n" );
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document.write( "If x=8.2801098892805, then x+2=10.2801098892805\r<BR>\n" );
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document.write( "Thus, the width is 10.2801098892805 units long\r<BR>\n" );
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document.write( "Power up,<BR>\n" );
document.write( "HyperBrain! </SPAN>\n" );
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