document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=133683>Question 133683</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9781567655858/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> the area of a garden is 120 sq. feet. the length of the garden is 1 foot less then twice the width. what are the dimensions of the garden? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #97846 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=97846\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Area(A)=Length(l) times Width(w) or A=l*w\r<BR>\n" );
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document.write( "Let w=width\r<BR>\n" );
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document.write( "Then length(l)=2w-1\r<BR>\n" );
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document.write( "Now we are told that:\r<BR>\n" );
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document.write( "w*(2w-1)=120 or<BR>\n" );
document.write( "2w^2-w=120  subtract 120 from each side\r<BR>\n" );
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document.write( "2w^2-w-120=120-120   <BR>\n" );
document.write( "2w^2-w-120=0 quadratic in standard form-solve using 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;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+%281+%2B-+sqrt%28+1-4%2A2%2A%28-120%29+%29%29%2F%282%2A2%29+ ALIGN=MIDDLE  ALT=\"w+=+%281+%2B-+sqrt%28+1-4%2A2%2A%28-120%29+%29%29%2F%282%2A2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+%281+%2B-+sqrt%28+1%2B960%29%29%2F%284%29+ ALIGN=MIDDLE  ALT=\"w+=+%281+%2B-+sqrt%28+1%2B960%29%29%2F%284%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+%281+%2B-+sqrt%28961%29%29%2F%284%29+ ALIGN=MIDDLE  ALT=\"w+=+%281+%2B-+sqrt%28961%29%29%2F%284%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+%281+%2B-31%29%2F%284%29+ ALIGN=MIDDLE  ALT=\"w+=+%281+%2B-31%29%2F%284%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Neglect the negative value for w.  In this case, length and width are positive.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=%281%2B31%29%2F4=8 ALIGN=MIDDLE  ALT=\"w=%281%2B31%29%2F4=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > ft --- width of garden\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2w-1=2%2A8-1=15 ALIGN=MIDDLE  ALT=\"2w-1=2%2A8-1=15\"   DISABLED_style= \"max-width:90%; height:auto;\" > ft ----length of garden\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "A=l*w=15*8=120 sq ft\r<BR>\n" );
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document.write( "and 15=2*8-1\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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