document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=192307>Question 192307</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangle has a diagonal that measures 10 centimeters and lengh that is 2 centimeters longer than the width. What is the width of the rectangle in centimeters? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #144337 by </B><A HREF=/tutors/aboutme.mpl?userid=orca><B>orca(409)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=orca><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=144337\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Note that the width, length and the diagonal form a right triangle, the diagonal is the hypotenuse.\r<BR>\n" );
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document.write( "Let the width be x, then the length is x + 2.\r<BR>\n" );
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document.write( "Now use the pythagorean theorem to set up an equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B%28x%2B2%29%5E2+=+10%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2B%28x%2B2%29%5E2+=+10%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Solving the equation, we have<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bx%5E2%2B4x%2B4=100 ALIGN=MIDDLE  ALT=\"x%5E2%2Bx%5E2%2B4x%2B4=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%2B4x-96=0 ALIGN=MIDDLE  ALT=\"2x%5E2%2B4x-96=0\"   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%2B2x-48=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B2x-48=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-6%29%28x%2B8%29=0 ALIGN=MIDDLE  ALT=\"%28x-6%29%28x%2B8%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So<BR>\n" );
document.write( "x=6, or x=-8(reject this negative root)\r<BR>\n" );
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document.write( "So the width is 6cm, and the length is x+2=8 cm.<BR>\n" );
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