document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=956109>Question 956109</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with this problem:The floor of a cabin is shaped like a rectangle. It has a surface area of 288 square feet. If the perimeter of the floor is 68 feet, what is the length of the floor?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #584111 by </B><A HREF=/tutors/aboutme.mpl?userid=macston><B>macston(5194)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=macston><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=macston><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=584111\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> L=length;W=width; P=perimeter=68ft; A=area=288 sq ft<BR>\n" );
document.write( "A=L*W<BR>\n" );
document.write( "L=A/W<BR>\n" );
document.write( "P=2(L+W) Substitute for L<BR>\n" );
document.write( "68ft=2((A/W)+W) Divide each side by 2<BR>\n" );
document.write( "34ft=(288sqft/W)+W Subtract W from each side.<BR>\n" );
document.write( "34ft-W=288sqft/W Multiply each side by W<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-W%5E2%2B34W=288 ALIGN=MIDDLE  ALT=\"-W%5E2%2B34W=288\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 288 from each side.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-W%5E2%2B34W-288=0 ALIGN=MIDDLE  ALT=\"-W%5E2%2B34W-288=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><TABLE  BORDER=1>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=quadratic.solver>SOLVE quadratic equation with variable</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>Quadratic equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=aW%5E2%2BbW%2Bc=0 ALIGN=MIDDLE  ALT=\"aW%5E2%2BbW%2Bc=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > (in our case <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1W%5E2%2B34W%2B-288+=+0 ALIGN=MIDDLE  ALT=\"-1W%5E2%2B34W%2B-288+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >) has the following solutons:<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca ALIGN=MIDDLE  ALT=\"W%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  <BR>\n" );
document.write( "  For these solutions to exist, the <U>discriminant</U> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac ALIGN=MIDDLE  ALT=\"b%5E2-4ac\"   DISABLED_style= \"max-width:90%; height:auto;\" > should not be a negative number.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  First, we need to compute the discriminant <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac ALIGN=MIDDLE  ALT=\"b%5E2-4ac\"   DISABLED_style= \"max-width:90%; height:auto;\" >: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac=%2834%29%5E2-4%2A-1%2A-288=4 ALIGN=MIDDLE  ALT=\"b%5E2-4ac=%2834%29%5E2-4%2A-1%2A-288=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  Discriminant d=4 is greater than zero. That means that there are two solutions: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5B12%5D+=+%28-34%2B-sqrt%28+4+%29%29%2F2%5Ca ALIGN=MIDDLE  ALT=\"+x%5B12%5D+=+%28-34%2B-sqrt%28+4+%29%29%2F2%5Ca\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5B1%5D+=+%28-%2834%29%2Bsqrt%28+4+%29%29%2F2%5C-1+=+16 ALIGN=MIDDLE  ALT=\"W%5B1%5D+=+%28-%2834%29%2Bsqrt%28+4+%29%29%2F2%5C-1+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5B2%5D+=+%28-%2834%29-sqrt%28+4+%29%29%2F2%5C-1+=+18 ALIGN=MIDDLE  ALT=\"W%5B2%5D+=+%28-%2834%29-sqrt%28+4+%29%29%2F2%5C-1+=+18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "    <BR>\n" );
document.write( "    Quadratic expression <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1W%5E2%2B34W%2B-288 ALIGN=MIDDLE  ALT=\"-1W%5E2%2B34W%2B-288\"   DISABLED_style= \"max-width:90%; height:auto;\" > can be factored:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1W%5E2%2B34W%2B-288+=+-1%28W-16%29%2A%28W-18%29 ALIGN=MIDDLE  ALT=\"-1W%5E2%2B34W%2B-288+=+-1%28W-16%29%2A%28W-18%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  Again, the answer is: 16, 18.\n" );
document.write( "Here's your graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+-1%2Ax%5E2%2B34%2Ax%2B-288+%29 ALIGN=MIDDLE  ALT=\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+-1%2Ax%5E2%2B34%2Ax%2B-288+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ></TD></TR>\n" );
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document.write( "The width is 16ft or 18ft and length is the other.<BR>\n" );
document.write( "ANSWER: The dimensions are 18 feet by 16 feet.<BR>\n" );
document.write( "CHECK: <BR>\n" );
document.write( "P=2(L+W)<BR>\n" );
document.write( "68ft=2(18ft+16ft)<BR>\n" );
document.write( "68ft=2(34ft)<BR>\n" );
document.write( "68ft=68ft<BR>\n" );
document.write( "A=LW<BR>\n" );
document.write( "288 sq ft=(18ft)(16ft)<BR>\n" );
document.write( "288 sq ft=288 sq ft </SPAN>\n" );
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