document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=110343>Question 110343</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with this question.\r<BR>\n" );
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document.write( "The length of a rectangle is 4cm more that 2 times its width. If the area of the rectangle is 61cm^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 #80408 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</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=80408\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the area of a rectangle is:\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" );
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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=A+=+61cm%5E2 ALIGN=MIDDLE  ALT=\"A+=+61cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=length=L ALIGN=MIDDLE  ALT=\"length=L\"   DISABLED_style= \"max-width:90%; height:auto;\" > of a rectangle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4cm ALIGN=MIDDLE  ALT=\"4cm\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+more ALIGN=MIDDLE  ALT=\"+more\"   DISABLED_style= \"max-width:90%; height:auto;\" > that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+times ALIGN=MIDDLE  ALT=\"+times\"   DISABLED_style= \"max-width:90%; height:auto;\" > its <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=width=W ALIGN=MIDDLE  ALT=\"width=W\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and we can write it this way:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+2W+%2B+4cm ALIGN=MIDDLE  ALT=\"L+=+2W+%2B+4cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >............we will substitute this in formula for area<BR>\n" );
document.write( "in order to find the dimensions of the rectangle\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" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=61cm%5E2+=+%282W+%2B+4cm%29%2AW ALIGN=MIDDLE  ALT=\"61cm%5E2+=+%282W+%2B+4cm%29%2AW\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=61cm%5E2+=+2W%5E2+%2B+4Wcm ALIGN=MIDDLE  ALT=\"61cm%5E2+=+2W%5E2+%2B+4Wcm\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........move <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=61cm%5E2 ALIGN=MIDDLE  ALT=\"61cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to the right\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+2W%5E2+%2B+4Wcm+-+61cm%5E2 ALIGN=MIDDLE  ALT=\"0+=+2W%5E2+%2B+4Wcm+-+61cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "or\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2W%5E2+%2B+4Wcm+-+61cm%5E2+=+0 ALIGN=MIDDLE  ALT=\"+2W%5E2+%2B+4Wcm+-+61cm%5E2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.............now we can 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" );
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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" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5B1%2C2%5D=%28-4+%2B-+sqrt+%284%5E2+-4%2A2%2A%28-61%29+%29%29+%2F+%282%2A2%29 ALIGN=MIDDLE  ALT=\"W%5B1%2C2%5D=%28-4+%2B-+sqrt+%284%5E2+-4%2A2%2A%28-61%29+%29%29+%2F+%282%2A2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5B1%2C2%5D=%28-4+%2B-+sqrt+%2816+%2B+488+%29%29%2F4 ALIGN=MIDDLE  ALT=\"W%5B1%2C2%5D=%28-4+%2B-+sqrt+%2816+%2B+488+%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5B1%2C2%5D=%28-4+%2B-+sqrt+%28504+%29%29%2F4 ALIGN=MIDDLE  ALT=\"W%5B1%2C2%5D=%28-4+%2B-+sqrt+%28504+%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5B1%2C2%5D=%28-4+%2B-+%2822.449%29%29%2F4 ALIGN=MIDDLE  ALT=\"W%5B1%2C2%5D=%28-4+%2B-+%2822.449%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5B1%5D=%28-4+%2B+%2822.449%29%29%2F4 ALIGN=MIDDLE  ALT=\"W%5B1%5D=%28-4+%2B+%2822.449%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5B1%5D=%2818.449%29%2F4 ALIGN=MIDDLE  ALT=\"W%5B1%5D=%2818.449%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5B1%5D=+4.612cm ALIGN=MIDDLE  ALT=\"W%5B1%5D=+4.612cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5B2%5D=%28-4+-+%2822.449%29%29%2F4 ALIGN=MIDDLE  ALT=\"W%5B2%5D=%28-4+-+%2822.449%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........we don't need negative value, lenght is positive value\r<BR>\n" );
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document.write( "so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+4.612cm ALIGN=MIDDLE  ALT=\"W+=+4.612cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "now find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L ALIGN=MIDDLE  ALT=\"L\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+2W+%2B+4cm ALIGN=MIDDLE  ALT=\"L+=+2W+%2B+4cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+2%284.612%29cm+%2B+4cm ALIGN=MIDDLE  ALT=\"L+=+2%284.612%29cm+%2B+4cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=%289.224%29cm+%2B+4cm ALIGN=MIDDLE  ALT=\"L+=%289.224%29cm+%2B+4cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=13.224cm ALIGN=MIDDLE  ALT=\"L+=13.224cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );