document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1086553>Question 1086553</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the length of a rectangular board is 9 inches more than its width, the area is 112 square inches. Find the measures of the length and the width\r<BR>\n" );
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document.write( "Please help me&#128557;&#128557;&#128557; </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #700780 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=700780\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=\"black\" face=\"times\" size=\"3\">L = length (in inches)<BR>\n" );
document.write( "W = width (in inches)\r<BR>\n" );
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document.write( "We're given that the \"the length...is 9 inches more than its width\", so\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+W%2B9 ALIGN=MIDDLE  ALT=\"L+=+W%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The area of any rectangle is found by the formula \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( "Make substitutions and get everything to one side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%28W%2B9%29%2AW ALIGN=MIDDLE  ALT=\"A+=+%28W%2B9%29%2AW\"   DISABLED_style= \"max-width:90%; height:auto;\" > Replaced L with W+9\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=112+=+%28W%2B9%29%2AW ALIGN=MIDDLE  ALT=\"112+=+%28W%2B9%29%2AW\"   DISABLED_style= \"max-width:90%; height:auto;\" > Replaced A with 112\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=112+=+W%2AW+%2B+9%2AW ALIGN=MIDDLE  ALT=\"112+=+W%2AW+%2B+9%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=112+=+W%5E2+%2B+9W ALIGN=MIDDLE  ALT=\"112+=+W%5E2+%2B+9W\"   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=112-112+=+W%5E2+%2B+9W+-+112 ALIGN=MIDDLE  ALT=\"112-112+=+W%5E2+%2B+9W+-+112\"   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=0+=+W%5E2+%2B+9W+-+112 ALIGN=MIDDLE  ALT=\"0+=+W%5E2+%2B+9W+-+112\"   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%5E2+%2B+9W+-+112+=+0 ALIGN=MIDDLE  ALT=\"W%5E2+%2B+9W+-+112+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "From here use the quadratic formula. It is the most effecient way to solve quadratic equations. \r<BR>\n" );
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document.write( "Using the quadratic formula, we get\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%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"W+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%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-%289%29%2B-sqrt%28%289%29%5E2-4%281%29%28-112%29%29%29%2F%282%281%29%29 ALIGN=MIDDLE  ALT=\"W+=+%28-%289%29%2B-sqrt%28%289%29%5E2-4%281%29%28-112%29%29%29%2F%282%281%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+1 ALIGN=MIDDLE  ALT=\"a+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+9 ALIGN=MIDDLE  ALT=\"b+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+-112 ALIGN=MIDDLE  ALT=\"c+=+-112\"   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+=+%28-9%2B-sqrt%2881-%28-448%29%29%29%2F%282%29 ALIGN=MIDDLE  ALT=\"W+=+%28-9%2B-sqrt%2881-%28-448%29%29%29%2F%282%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+=+%28-9%2B-sqrt%2881%2B448%29%29%2F%282%29 ALIGN=MIDDLE  ALT=\"W+=+%28-9%2B-sqrt%2881%2B448%29%29%2F%282%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+=+%28-9%2B-sqrt%28529%29%29%2F2 ALIGN=MIDDLE  ALT=\"W+=+%28-9%2B-sqrt%28529%29%29%2F2\"   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+=+%28-9%2Bsqrt%28529%29%29%2F2 ALIGN=MIDDLE  ALT=\"W+=+%28-9%2Bsqrt%28529%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+%28-9-sqrt%28529%29%29%2F2 ALIGN=MIDDLE  ALT=\"W+=+%28-9-sqrt%28529%29%29%2F2\"   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+=+%28-9%2B23%29%2F2 ALIGN=MIDDLE  ALT=\"W+=+%28-9%2B23%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+%28-9-23%29%2F2 ALIGN=MIDDLE  ALT=\"W+=+%28-9-23%29%2F2\"   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+=+14%2F2 ALIGN=MIDDLE  ALT=\"W+=+14%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+-32%2F2 ALIGN=MIDDLE  ALT=\"W+=+-32%2F2\"   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+=+7 ALIGN=MIDDLE  ALT=\"W+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" >    or    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+-16 ALIGN=MIDDLE  ALT=\"W+=+-16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Ignore the value <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+-16 ALIGN=MIDDLE  ALT=\"W+=+-16\"   DISABLED_style= \"max-width:90%; height:auto;\" >. It's not possible to have a negative width.\r<BR>\n" );
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document.write( "The only practical solution is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+7 ALIGN=MIDDLE  ALT=\"W+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "If the width is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+7 ALIGN=MIDDLE  ALT=\"W+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then the length L is\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+W%2B9 ALIGN=MIDDLE  ALT=\"L+=+W%2B9\"   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+=+7%2B9 ALIGN=MIDDLE  ALT=\"L+=+7%2B9\"   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+=+16 ALIGN=MIDDLE  ALT=\"L+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Note how L*W = 7*16 = 112 so that helps confirm the answers.\r<BR>\n" );
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document.write( "Answers: <BR>\n" );
document.write( "<font color=red>Length = 16 inches<BR>\n" );
document.write( "Width = 7 inches</font><BR>\n" );
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