document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=101528>Question 101528</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of a rectangle is <BR>\n" );
document.write( "1 cm longer than the width.  \r<BR>\n" );
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document.write( "If the DIAGONAL of the rectangle is 4 cm, \r<BR>\n" );
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document.write( "what are the dimensions <BR>\n" );
document.write( "(of the length and width)<BR>\n" );
document.write( "of the rectangle??\r<BR>\n" );
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document.write( "I can get my answer of <BR>\n" );
document.write( "2.284 cm and 3.284 cm \r<BR>\n" );
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document.write( "but...\r<BR>\n" );
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document.write( "I need to show step by step how I got my answer,<BR>\n" );
document.write( "this is where I keep writing it out wrong. <BR>\n" );
document.write( "Please help... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #73919 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=73919\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let say that:<BR>\n" );
document.write( "Length=a<BR>\n" );
document.write( "Width=b<BR>\n" );
document.write( "DIAGONAL=d\r<BR>\n" );
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document.write( "Given:<BR>\n" );
document.write( "a=b+1cm<BR>\n" );
document.write( "d=4cm\r<BR>\n" );
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document.write( "you have to use Pythagorean theorem<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+%2B+b%5E2+=+d%5E2 ALIGN=MIDDLE  ALT=\"a%5E2+%2B+b%5E2+=+d%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b%2B1cm%29%5E2+%2B+b%5E2+=+4%5E2 ALIGN=MIDDLE  ALT=\"%28b%2B1cm%29%5E2+%2B+b%5E2+=+4%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2+%2B+2b%2B1+%2B+b%5E2=+16 ALIGN=MIDDLE  ALT=\"b%5E2+%2B+2b%2B1+%2B+b%5E2=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2b%5E2+%2B2b-16%2B1+=+0 ALIGN=MIDDLE  ALT=\"2b%5E2+%2B2b-16%2B1+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2b%5E2+%2B2b-15+=+0 ALIGN=MIDDLE  ALT=\"2b%5E2+%2B2b-15+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2b%5E2+%2B2b-15+=0+ ALIGN=MIDDLE  ALT=\"2b%5E2+%2B2b-15+=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > (now we can divide this by 2)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2+%2Bb-15%2F2+=0+ ALIGN=MIDDLE  ALT=\"b%5E2+%2Bb-15%2F2+=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "use quadratic formula <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-b+%2B-+sqrt+%28b%5E2+-4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29 ALIGN=MIDDLE  ALT=\"x=-b+%2B-+sqrt+%28b%5E2+-4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >	 where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=x1 ALIGN=MIDDLE  ALT=\"b=x1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x1%3E0 ALIGN=MIDDLE  ALT=\"x1%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "or do it this way:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2+%2Bb-15%2F2+=0+ ALIGN=MIDDLE  ALT=\"b%5E2+%2Bb-15%2F2+=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2+%2B+b+=+15%2F2 ALIGN=MIDDLE  ALT=\"b%5E2+%2B+b+=+15%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%5E+2+%2B+b+%2B1%2F4+-1%2F4=15%2F2 ALIGN=MIDDLE  ALT=\"b%5E+2+%2B+b+%2B1%2F4+-1%2F4=15%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%5E+2+%2B+b+%2B1%2F4+=1%2F4+%2B15%2F2+ ALIGN=MIDDLE  ALT=\"b%5E+2+%2B+b+%2B1%2F4+=1%2F4+%2B15%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=%28b%2B+1%2F2%29%5E2+=+1%2F4+%2B15%2F2++ ALIGN=MIDDLE  ALT=\"%28b%2B+1%2F2%29%5E2+=+1%2F4+%2B15%2F2++\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b%2B+1%2F2%29%5E2+=++31%2F4 ALIGN=MIDDLE  ALT=\"%28b%2B+1%2F2%29%5E2+=++31%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=b%2B1%2F2 ALIGN=MIDDLE  ALT=\"b%2B1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >= + -  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt+%2831%2F4+%29 ALIGN=MIDDLE  ALT=\"sqrt+%2831%2F4+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" >=+-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2831%2F4%29 ALIGN=MIDDLE  ALT=\"sqrt%2831%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > -<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F2 ALIGN=MIDDLE  ALT=\"+1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "since the length is positive, we will use only +sqrt31/4 which is 2.784<BR>\n" );
document.write( "then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=2.784%961%2F2 ALIGN=MIDDLE  ALT=\"b+=2.784%961%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+=2.284+ ALIGN=MIDDLE  ALT=\"b+=2.284+\"   DISABLED_style= \"max-width:90%; height:auto;\" >   then    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=2.284+%2B1=3.284 ALIGN=MIDDLE  ALT=\"a+=2.284+%2B1=3.284\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+%2B+b%5E2+=+d%5E2 ALIGN=MIDDLE  ALT=\"a%5E2+%2B+b%5E2+=+d%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.284%5E2+%2B2.284%5E2+=4%5E2 ALIGN=MIDDLE  ALT=\"3.284%5E2+%2B2.284%5E2+=4%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10.779+%2B+5.217++=16 ALIGN=MIDDLE  ALT=\"10.779+%2B+5.217++=16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15.996+ ALIGN=MIDDLE  ALT=\"15.996+\"   DISABLED_style= \"max-width:90%; height:auto;\" >is approximately <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16 ALIGN=MIDDLE  ALT=\"16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " \r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );