document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=48712>Question 48712</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0072867256/algebrahomeworkh></A><BR>\n" );
document.write( ": <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 5cm, what are the dimensions(the length and width) 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 #32240 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=32240\">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 5cm, what are the dimensions(the length and width) of the rectangle?<BR>\n" );
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document.write( "width = x cm<BR>\n" );
document.write( "length = x+1 cm<BR>\n" );
document.write( "Since diagonal is 5 cm x^2+(x+1)^2=5^2<BR>\n" );
document.write( "x^2+x^2+2x+1=25<BR>\n" );
document.write( "2x^2+2x-24=0<BR>\n" );
document.write( "x^2+x-12=0<BR>\n" );
document.write( "(x+4)(x-3)=0<BR>\n" );
document.write( "Since x must be positive, x=3<BR>\n" );
document.write( "So width = 3 cm<BR>\n" );
document.write( "and length = 4 cm\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );