document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=82346>Question 82346</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 72 cm^2, find the dimensions of the rectangle to the nearest thousandth.\r<BR>\n" );
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document.write( "Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59010 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=59010\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let W=width of rectangle<BR>\n" );
document.write( "Then length=4W+1\r<BR>\n" );
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document.write( "Area(A) of rectangle=Length*Width=W*(4W+1)\r<BR>\n" );
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document.write( "Now we are told that:<BR>\n" );
document.write( " W*(4W+1)=72  get rid of parens\r<BR>\n" );
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document.write( "4W^2+W=72  subtract 72 from both sides\r<BR>\n" );
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document.write( "4W^2+W-72=72-72 or\r<BR>\n" );
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document.write( "4W^2+W-72=0   quadratic in standard form.  We'll use the quadratic formula:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"W+=+%28-b+%2B-+sqrt%28+b%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+=+%28-1+%2B-+sqrt%28+1%5E2-4%2A4%2A%28-72%29+%29%29%2F%282%2A4%29+ ALIGN=MIDDLE  ALT=\"W+=+%28-1+%2B-+sqrt%28+1%5E2-4%2A4%2A%28-72%29+%29%29%2F%282%2A4%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+=+%28-1+%2B-+sqrt%281153%29%29%2F%288%29+ ALIGN=MIDDLE  ALT=\"W+=+%28-1+%2B-+sqrt%281153%29%29%2F%288%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+=+%28-1+%2Bsqrt+%281153%29%29%2F%288%29+ ALIGN=MIDDLE  ALT=\"W+=+%28-1+%2Bsqrt+%281153%29%29%2F%288%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+=+4.120 ALIGN=MIDDLE  ALT=\"W+=+4.120\"   DISABLED_style= \"max-width:90%; height:auto;\" > cm ----------------------width of rectangle\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4W%2B1=4%284.120%29%2B1=17.480 ALIGN=MIDDLE  ALT=\"4W%2B1=4%284.120%29%2B1=17.480\"   DISABLED_style= \"max-width:90%; height:auto;\" > cm---------------------length of rectangle\r<BR>\n" );
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document.write( "Discount negative value for W. Lengths are positive.\r<BR>\n" );
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document.write( "CK\r<BR>\n" );
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document.write( "A=L*W=(4.120)(17.480)=72 cm^2\r<BR>\n" );
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document.write( "~72 cm^2=72 cm^2\r<BR>\n" );
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document.write( "Hope this helps----ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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