document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=84735>Question 84735</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The perimiter of a rectangular concrete slab is 60 feet and its area is 224 square feet. What is the length of the longer side of the slab? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #61035 by </B><A HREF=/tutors/aboutme.mpl?userid=PS><B>PS(13)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=PS><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=61035\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> length of the rectangular slab = L<BR>\n" );
document.write( "width of the rectangular slab = W\r<BR>\n" );
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document.write( "Perimeter = 2L + 2W = 60\r<BR>\n" );
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document.write( "Area = L*W = 224<BR>\n" );
document.write( "        L = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=224%2FW ALIGN=MIDDLE  ALT=\"224%2FW\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Perimeter = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A%28224%2FW%29+%2B+2W ALIGN=MIDDLE  ALT=\"2%2A%28224%2FW%29+%2B+2W\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 60\r<BR>\n" );
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document.write( "            <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=448+%2B+2%2AW%5E2 ALIGN=MIDDLE  ALT=\"448+%2B+2%2AW%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2AW ALIGN=MIDDLE  ALT=\"60%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=W%5E2+%2B+224 ALIGN=MIDDLE  ALT=\"W%5E2+%2B+224\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2AW ALIGN=MIDDLE  ALT=\"30%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=W%5E2+-+30%2AW+%2B+224 ALIGN=MIDDLE  ALT=\"W%5E2+-+30%2AW+%2B+224\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0\r<BR>\n" );
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document.write( "<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%2B-30W%2B224+=+0 ALIGN=MIDDLE  ALT=\"1W%5E2%2B-30W%2B224+=+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=%28-30%29%5E2-4%2A1%2A224=4 ALIGN=MIDDLE  ALT=\"b%5E2-4ac=%28-30%29%5E2-4%2A1%2A224=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--30%2B-sqrt%28+4+%29%29%2F2%5Ca ALIGN=MIDDLE  ALT=\"+x%5B12%5D+=+%28--30%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-%28-30%29%2Bsqrt%28+4+%29%29%2F2%5C1+=+16 ALIGN=MIDDLE  ALT=\"W%5B1%5D+=+%28-%28-30%29%2Bsqrt%28+4+%29%29%2F2%5C1+=+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-%28-30%29-sqrt%28+4+%29%29%2F2%5C1+=+14 ALIGN=MIDDLE  ALT=\"W%5B2%5D+=+%28-%28-30%29-sqrt%28+4+%29%29%2F2%5C1+=+14\"   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%2B-30W%2B224 ALIGN=MIDDLE  ALT=\"1W%5E2%2B-30W%2B224\"   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%2B-30W%2B224+=+1%28W-16%29%2A%28W-14%29 ALIGN=MIDDLE  ALT=\"1W%5E2%2B-30W%2B224+=+1%28W-16%29%2A%28W-14%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  Again, the answer is: 16, 14.\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%2B-30%2Ax%2B224+%29 ALIGN=MIDDLE  ALT=\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B-30%2Ax%2B224+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ></TD></TR>\n" );
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document.write( "            <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28W-16%29+%2A+%28W-14%29 ALIGN=MIDDLE  ALT=\"%28W-16%29+%2A+%28W-14%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0\r<BR>\n" );
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document.write( "              W = 16 or W = 14\r<BR>\n" );
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document.write( "     The longer side is therefore 16            <BR>\n" );
document.write( " </SPAN>\n" );
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