document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=65712>Question 65712</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of a rectangle is 1cm longer than its width. If the diagonal of the rectangle is 4cm, what are the dimensions (length and width) of the rectangle?\r<BR>\n" );
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document.write( "Talk about confusing to me! Thank you for the help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #46391 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=46391\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The length of a rectangle is 1cm longer than its width. If the diagonal of the rectangle is 4cm, what are the dimensions (length and width) of the rectangle?\r<BR>\n" );
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document.write( "We can use the pythagorean theorem to solve this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28c%5E2=a%5E2%2Bb%5E2%29 ALIGN=MIDDLE  ALT=\"highlight%28c%5E2=a%5E2%2Bb%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where c=hypotenuse, a and b are both legs of a right triangle<BR>\n" );
document.write( "In this case the diagonal is c=4<BR>\n" );
document.write( "Let the width, a=x<BR>\n" );
document.write( "Then the length, b=x+1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%5E2=%28x%29%5E2%2B%28x%2B1%29%5E2 ALIGN=MIDDLE  ALT=\"4%5E2=%28x%29%5E2%2B%28x%2B1%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16=x%5E2%2Bx%5E2%2B2x%2B1 ALIGN=MIDDLE  ALT=\"16=x%5E2%2Bx%5E2%2B2x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16=2x%5E2%2B2x%2B1 ALIGN=MIDDLE  ALT=\"16=2x%5E2%2B2x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16-16=2x%5E2%2B2x%2B1-16 ALIGN=MIDDLE  ALT=\"16-16=2x%5E2%2B2x%2B1-16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=2x%5E2%2B2x-15 ALIGN=MIDDLE  ALT=\"0=2x%5E2%2B2x-15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is in the form: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=ax%5E2%2Bbx%2Bc ALIGN=MIDDLE  ALT=\"0=ax%5E2%2Bbx%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now use the quadratic formula: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a%29 ALIGN=MIDDLE  ALT=\"highlight%28x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a=2, b=2, and c=-15<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-2%2B-sqrt%282%5E2-4%282%29%28-15%29%29%29%2F%282%282%29%29 ALIGN=MIDDLE  ALT=\"x=%28-2%2B-sqrt%282%5E2-4%282%29%28-15%29%29%29%2F%282%282%29%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=%28-2%2B-sqrt%284%2B120%29%29%2F4 ALIGN=MIDDLE  ALT=\"x=%28-2%2B-sqrt%284%2B120%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-2%2B-sqrt%28124%29%29%2F4 ALIGN=MIDDLE  ALT=\"x=%28-2%2B-sqrt%28124%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-2%2B-sqrt%284%29%2Asqrt%2831%29%29%2F4 ALIGN=MIDDLE  ALT=\"x=%28-2%2B-sqrt%284%29%2Asqrt%2831%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-2%2B-2%2Asqrt%2831%29%29%2F4 ALIGN=MIDDLE  ALT=\"x=%28-2%2B-2%2Asqrt%2831%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2%28-1%2B-sqrt%2831%29%29%2F4 ALIGN=MIDDLE  ALT=\"x=2%28-1%2B-sqrt%2831%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-1%2B-sqrt%2831%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%28-1%2B-sqrt%2831%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Ignore the negative answer because dimensions are positive.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-1%2Bsqrt%2831%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%28-1%2Bsqrt%2831%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x~~2.28388 <BR>\n" );
document.write( "The width is: x~~2.28 cm<BR>\n" );
document.write( "The length is x+1=2.28+1=3.28 cm<BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
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