document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=118352>Question 118352</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of a rectangle is 2 cm more than 5 times its width. If the area of the rectangle is 68 cm^2, find the dimensions of the rectangle to the nearest thousandth. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #86469 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=86469\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The length: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L ALIGN=MIDDLE  ALT=\"L\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The width: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W ALIGN=MIDDLE  ALT=\"W\"   DISABLED_style= \"max-width:90%; height:auto;\" >	<BR>\n" );
document.write( "the area: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=L%2AW ALIGN=MIDDLE  ALT=\"A=L%2AW\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "given:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+5W+%2B+2cm ALIGN=MIDDLE  ALT=\"L+=+5W+%2B+2cm\"   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=A+=+68+cm%5E2 ALIGN=MIDDLE  ALT=\"A+=+68+cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+L%2AW ALIGN=MIDDLE  ALT=\"A+=+L%2AW\"   DISABLED_style= \"max-width:90%; height:auto;\" >…………….substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L ALIGN=MIDDLE  ALT=\"L\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A ALIGN=MIDDLE  ALT=\"A\"   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=68+cm%5E2+=+%285W+%2B+2cm+%29%2AW ALIGN=MIDDLE  ALT=\"68+cm%5E2+=+%285W+%2B+2cm+%29%2AW\"   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=68+cm%5E2+=+5W%5E2+%2B+2cm%2AW+ ALIGN=MIDDLE  ALT=\"68+cm%5E2+=+5W%5E2+%2B+2cm%2AW+\"   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=+5W%5E2+%2B+2cm%2AW+-+68+cm%5E2+=+0+ ALIGN=MIDDLE  ALT=\"+5W%5E2+%2B+2cm%2AW+-+68+cm%5E2+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >……………use quadratic formula to solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W ALIGN=MIDDLE  ALT=\"W\"   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=W%5B1%2C2%5D=%28-b+%2B-+sqrt+%28b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29 ALIGN=MIDDLE  ALT=\"W%5B1%2C2%5D=%28-b+%2B-+sqrt+%28b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%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=W%5B1%2C2%5D=%28-+2cm+%2B-+sqrt+%28%282cm+%29%5E2+-+4%2A5%2A%28-68+cm%5E2++%29%29%29+%2F+%282%2A5%29 ALIGN=MIDDLE   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=W%5B1%2C2%5D=%28-+2cm+%2B-+sqrt+%284cm%5E2+%2B+1360cm%5E2+%29%29+%2F+10 ALIGN=MIDDLE  ALT=\"W%5B1%2C2%5D=%28-+2cm+%2B-+sqrt+%284cm%5E2+%2B+1360cm%5E2+%29%29+%2F+10\"   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=W%5B1%2C2%5D=%28-+2cm+%2B-+sqrt+%281364cm%5E2+%29%29+%2F+10 ALIGN=MIDDLE  ALT=\"W%5B1%2C2%5D=%28-+2cm+%2B-+sqrt+%281364cm%5E2+%29%29+%2F+10\"   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=W%5B1%2C2%5D=%28-+2cm+%2B-+36.9cm%29+%2F+10 ALIGN=MIDDLE  ALT=\"W%5B1%2C2%5D=%28-+2cm+%2B-+36.9cm%29+%2F+10\"   DISABLED_style= \"max-width:90%; height:auto;\" >….<BR>\n" );
document.write( " \r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "Since we are looking for the width, we need only positive root:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5B1%5D=%28-+2cm+%2B+36.9cm%29+%2F+10 ALIGN=MIDDLE  ALT=\"W%5B1%5D=%28-+2cm+%2B+36.9cm%29+%2F+10\"   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=W%5B1%5D=%28+34.9cm%29+%2F+10 ALIGN=MIDDLE  ALT=\"W%5B1%5D=%28+34.9cm%29+%2F+10\"   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=W%5B1%5D=%28+3.49cm%29+ ALIGN=MIDDLE  ALT=\"W%5B1%5D=%28+3.49cm%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "	<BR>\n" );
document.write( "Now we can find the length;\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+5W+%2B+2cm ALIGN=MIDDLE  ALT=\"L+=+5W+%2B+2cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >….substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W ALIGN=MIDDLE  ALT=\"W\"   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=L+=+5%283.49cm+%29+%2B+2cm ALIGN=MIDDLE  ALT=\"L+=+5%283.49cm+%29+%2B+2cm\"   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=L+=+17.45cm+%2B+2cm ALIGN=MIDDLE  ALT=\"L+=+17.45cm+%2B+2cm\"   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=L+=+19.45cm+ ALIGN=MIDDLE  ALT=\"L+=+19.45cm+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Check:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+L%2AW ALIGN=MIDDLE  ALT=\"A+=+L%2AW\"   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=A+=+%2819.45cm%29%283.49cm+%29 ALIGN=MIDDLE  ALT=\"A+=+%2819.45cm%29%283.49cm+%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=A+=+%2867.8805cm%5E2%29 ALIGN=MIDDLE  ALT=\"A+=+%2867.8805cm%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >…………….which can be rounded to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=68cm%5E2 ALIGN=MIDDLE  ALT=\"68cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );