document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=107727>Question 107727</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of a rectangle is 1 cm more than 4 times its width.  If the area of the rectangle is 65 cm2, find the dimensions 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 #78481 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=78481\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The length of a rectangle is 1 cm more than 4 times its width. If the area of the rectangle is 65 cm2, find the dimensions of the rectangle? <BR>\n" );
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document.write( "Let the width be \"w\"<BR>\n" );
document.write( "Then the length is \"4w+1\"<BR>\n" );
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document.write( "Area = width*length<BR>\n" );
document.write( "65 = w(4w+1)<BR>\n" );
document.write( "65 = 4w^2+w<BR>\n" );
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document.write( "Rearrange:<BR>\n" );
document.write( "4w^2+w-65 = 0<BR>\n" );
document.write( "w = [-1 +- sqrt(1 - 4*4*-65)]/8<BR>\n" );
document.write( "w = [-1 +- sqrt(1041)]/<BR>\n" );
document.write( "w = [-1 +- 32.2645...]/8<BR>\n" );
document.write( "w = 3.908...cm (width of the rectangle)<BR>\n" );
document.write( "4w+1 = 16.6322...cm (length of the rectangle)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
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