document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1179618>Question 1179618</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The diagonal of the floor of a rectangular office cubicle is 2 ft longer than the length of the cubicle and 5 ft longer than twice the width. Find the dimensions of the cubicle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #809198 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</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=809198\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "The diagonal of a rectangle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+ft ALIGN=MIDDLE  ALT=\"2+ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > longer than its <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=length ALIGN=MIDDLE  ALT=\"length\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5+ft ALIGN=MIDDLE  ALT=\"5+ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > longer than twice its <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=width ALIGN=MIDDLE  ALT=\"width\"   DISABLED_style= \"max-width:90%; height:auto;\" >. <BR>\n" );
document.write( "What are the dimensions of the rectangle?\r<BR>\n" );
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document.write( "Since the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=diagonal ALIGN=MIDDLE  ALT=\"diagonal\"   DISABLED_style= \"max-width:90%; height:auto;\" > divides rectangle into two <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=right ALIGN=MIDDLE  ALT=\"right\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=trianles ALIGN=MIDDLE  ALT=\"trianles\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we will use <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Pythagoras%27+ ALIGN=MIDDLE  ALT=\"Pythagoras%27+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Theorem+ ALIGN=MIDDLE  ALT=\"Theorem+\"   DISABLED_style= \"max-width:90%; height:auto;\" > in order to find the dimensions of the rectangle.\r<BR>\n" );
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document.write( "In algebraic terms, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+%2B+b%5E2+=+c%5E2 ALIGN=MIDDLE  ALT=\"a%5E2+%2B+b%5E2+=+c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c ALIGN=MIDDLE  ALT=\"c\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the hypotenuse ( in your case the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=diagonal ALIGN=MIDDLE  ALT=\"diagonal\"   DISABLED_style= \"max-width:90%; height:auto;\" >) while <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+ ALIGN=MIDDLE  ALT=\"b+\"   DISABLED_style= \"max-width:90%; height:auto;\" >are the legs of the triangle (in your case the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=lenght ALIGN=MIDDLE  ALT=\"lenght\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=width ALIGN=MIDDLE  ALT=\"width\"   DISABLED_style= \"max-width:90%; height:auto;\" >).\r<BR>\n" );
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document.write( "given:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+a+%2B+2 ALIGN=MIDDLE  ALT=\"c+=+a+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >   => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+c++-++2 ALIGN=MIDDLE  ALT=\"a+=+c++-++2\"   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=c+=+2b+%2B+5 ALIGN=MIDDLE  ALT=\"c+=+2b+%2B+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >  =>  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+%28c++-++5%29%2F2 ALIGN=MIDDLE  ALT=\"b+=+%28c++-++5%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "we will substitute it in:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2+=+a%5E2+%2B+b%5E2 ALIGN=MIDDLE  ALT=\"c%5E2+=+a%5E2+%2B+b%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=c%5E2+=+%28c-2%29%5E2+%2B+%28%28c++-++5%29%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"c%5E2+=+%28c-2%29%5E2+%2B+%28%28c++-++5%29%2F2%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=c%5E2+=+%285c%5E2%29%2F4+-+%2813+c%29%2F2+%2B+41%2F4 ALIGN=MIDDLE  ALT=\"c%5E2+=+%285c%5E2%29%2F4+-+%2813+c%29%2F2+%2B+41%2F4\"   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=4c%5E2+=+5c%5E2++-++26c+%2B41 ALIGN=MIDDLE  ALT=\"4c%5E2+=+5c%5E2++-++26c+%2B41\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+5c%5E2-4c%5E2++-++26c+%2B41 ALIGN=MIDDLE  ALT=\"0+=+5c%5E2-4c%5E2++-++26c+%2B41\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2+-26c+%2B+41+=+0 ALIGN=MIDDLE  ALT=\"c%5E2+-26c+%2B+41+=+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=c=%28-%28-26%29+%2B-+sqrt+%28%28-26%29%5E2+-4%2A1%2A41+%29%29+%2F+%282%2A1%29 ALIGN=MIDDLE  ALT=\"c=%28-%28-26%29+%2B-+sqrt+%28%28-26%29%5E2+-4%2A1%2A41+%29%29+%2F+%282%2A1%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=c=%2826+%2B-+sqrt+%28512+%29%29+%2F2 ALIGN=MIDDLE  ALT=\"c=%2826+%2B-+sqrt+%28512+%29%29+%2F2\"   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=c=%2826+%2B-+16sqrt+%282+%29%29+%2F2 ALIGN=MIDDLE  ALT=\"c=%2826+%2B-+16sqrt+%282+%29%29+%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We 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=c=%2826+%2B+16sqrt+%282+%29%29+%2F2 ALIGN=MIDDLE  ALT=\"c=%2826+%2B+16sqrt+%282+%29%29+%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+13+%2B+8+sqrt%282%29 ALIGN=MIDDLE  ALT=\"c+=+13+%2B+8+sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=24.3ft ALIGN=MIDDLE  ALT=\"c=24.3ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+c++-++2ft ALIGN=MIDDLE  ALT=\"a+=+c++-++2ft\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+24.3ft++-++2ft+=+22.3ft ALIGN=MIDDLE  ALT=\"a+=+24.3ft++-++2ft+=+22.3ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+%28c++-++5ft%29%2F2 ALIGN=MIDDLE  ALT=\"b+=+%28c++-++5ft%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+%2824.3ft++-++5ft%29%2F2 ALIGN=MIDDLE  ALT=\"b+=+%2824.3ft++-++5ft%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+9.7ft ALIGN=MIDDLE  ALT=\"b+=+9.7ft\"   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=%2824.3%29%5E2+=+%2822.3%29%5E2+%2B+%289.7%29%5E2 ALIGN=MIDDLE  ALT=\"%2824.3%29%5E2+=+%2822.3%29%5E2+%2B+%289.7%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=590.49+=+591.3 ALIGN=MIDDLE  ALT=\"590.49+=+591.3\"   DISABLED_style= \"max-width:90%; height:auto;\" >..round to whole number\r<BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=591+=+591 ALIGN=MIDDLE  ALT=\"591+=+591\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );