document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=95455>Question 95455</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of a rectangle is 5 cm more than 4 times its width.  If the area of the rectangle is 80 cm2, find the dimensions of the rectangle to the nearest thousandth.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\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 #69558 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=69558\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let w=width\r<BR>\n" );
document.write( "\n" );
document.write( "Then length (l)=4w+5  (we are told this)\r<BR>\n" );
document.write( "\n" );
document.write( "Area of a rectangle =length x width. So we have\r<BR>\n" );
document.write( "\n" );
document.write( "80=w(4w+5) get rid of parens\r<BR>\n" );
document.write( "\n" );
document.write( "80=4w^2+5w  subtract 80 from both sides\r<BR>\n" );
document.write( "\n" );
document.write( "4w^2+5w-80=80-80 or\r<BR>\n" );
document.write( "\n" );
document.write( "4w^2+5w-80=0---------quadratic in standard form\r<BR>\n" );
document.write( "\n" );
document.write( "Solve using the quadratic formula:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%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+=+%28-5+%2B-+sqrt%28+5%5E2-4%2A4%2A%28-80%29+%29%29%2F%282%2A4%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-5+%2B-+sqrt%28+5%5E2-4%2A4%2A%28-80%29+%29%29%2F%282%2A4%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+=+%28-5+%2B-+sqrt%281305%29%29%2F%288%29 ALIGN=MIDDLE  ALT=\"x+=+%28-5+%2B-+sqrt%281305%29%29%2F%288%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-5+%2B-+36.125%29%2F%288%29 ALIGN=MIDDLE  ALT=\"x+=+%28-5+%2B-+36.125%29%2F%288%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "Disregard the negative value for x.  Lengths and widths are positive\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-5+%2B36.125%29%2F%288%29 ALIGN=MIDDLE  ALT=\"x+=+%28-5+%2B36.125%29%2F%288%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+=+31.125%2F%288%29 ALIGN=MIDDLE  ALT=\"x+=+31.125%2F%288%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+=+3.891 ALIGN=MIDDLE  ALT=\"x+=+3.891\"   DISABLED_style= \"max-width:90%; height:auto;\" >cm--------------------width<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B5=4%283.891%29%2B5+=+20.562 ALIGN=MIDDLE  ALT=\"4x%2B5=4%283.891%29%2B5+=+20.562\"   DISABLED_style= \"max-width:90%; height:auto;\" >cm-------------length\r<BR>\n" );
document.write( "\n" );
document.write( "CK<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=l%2Aw=3.891%2A20.562=80.008 ALIGN=MIDDLE  ALT=\"A=l%2Aw=3.891%2A20.562=80.008\"   DISABLED_style= \"max-width:90%; height:auto;\" > cm<BR>\n" );
document.write( "~80=~80\r<BR>\n" );
document.write( "\n" );
document.write( "Hope this helps---ptaylor\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );