document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=308574>Question 308574</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The perimeter of a rectangular concrete slab is 82 feet and its area is 418 square feet. What is the length of the longer side of the slab?\r<BR>\n" );
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document.write( "I started by making two seperate equations, one for perimeter and one for area. I came up with 2L+2W=82 and L*W=418. I don't know where to go from here.\r<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 #220638 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=220638\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Simplify the first equation by dividing both sides by 2.<BR>\n" );
document.write( "L+W= 41\r<BR>\n" );
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document.write( "Solve for W: <BR>\n" );
document.write( "W=41-L\r<BR>\n" );
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document.write( "Substitute back into the other equation:\r<BR>\n" );
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document.write( "LW=418<BR>\n" );
document.write( "L(41-L)=418<BR>\n" );
document.write( "41L-L^2-418=0\r<BR>\n" );
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document.write( "Multiply both sides by -1:<BR>\n" );
document.write( "L^2 -41L +418=0\r<BR>\n" );
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document.write( "The hard part is to find two numbers that multiply to give you 418, and that adds up to 41.  The way I teach this is to start with 1 and make a list as follows:\r<BR>\n" );
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document.write( "1*418<BR>\n" );
document.write( "2*209<BR>\n" );
document.write( "11*38<BR>\n" );
document.write( "19*22\r<BR>\n" );
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document.write( "This is the combination!\r<BR>\n" );
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document.write( "(L-19)(L-22)=0<BR>\n" );
document.write( "L=19  or L=22\r<BR>\n" );
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document.write( "This means that 19 is the width and 22 is the length.\r<BR>\n" );
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document.write( "Dr. Robert J. Rapalje, Retired\r<BR>\n" );
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document.write( "P.S.  Nice problem!!! </SPAN>\n" );
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