document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=644402>Question 644402</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangular table top has a perimiter of 18 inches and an area of 20 square inches. FInd its dimensions </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #405032 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=405032\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">     A rectangular table top has a perimiter of 18 inches and an area of 20 square inches. FInd its dimensions<BR>\n" );
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document.write( "Let W = width<BR>\n" );
document.write( "and L = length<BR>\n" );
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document.write( "from perimeter:<BR>\n" );
document.write( "2(W+L)=18<BR>\n" );
document.write( "W+L = 9 (equation 1)<BR>\n" );
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document.write( "from area:<BR>\n" );
document.write( "WL = 20 (equation 2)<BR>\n" );
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document.write( "solve equation 1 for L:<BR>\n" );
document.write( "W+L = 9<BR>\n" );
document.write( "L = 9-W<BR>\n" );
document.write( "substitute into equation 2 and solve for W:<BR>\n" );
document.write( "WL = 20<BR>\n" );
document.write( "W(9-W) = 20<BR>\n" );
document.write( "9W-W^2 = 20<BR>\n" );
document.write( "9W = W^2+20<BR>\n" );
document.write( "0 = W^2-9W+20<BR>\n" );
document.write( "0 = (W-4)(W-5)<BR>\n" );
document.write( "W = {4,5}<BR>\n" );
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document.write( "Dimensions are: 4 inches by 5 inches </SPAN>\n" );
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