document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1098759>Question 1098759</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The perimeter of a rectangular pool is more than 62 meters, and the width is at least 10 meters less than the length. Which system of inequalities represents the possible length in meters, l, and the possible width in meters, w, of the pool? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #713220 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=713220\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you have P = 2L + 2W<BR>\n" );
document.write( "P > 62, therefore 2L + 2W > 62\r<BR>\n" );
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document.write( "you have W <= L - 10\r<BR>\n" );
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document.write( "your system of inequalities would be:<BR>\n" );
document.write( "2L + 2W > 62<BR>\n" );
document.write( "W <= L - 10<BR>\n" );
document.write( "x >= 0<BR>\n" );
document.write( "y >= 0\r<BR>\n" );
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document.write( "you can take any perimeter > 62 and solve for L and W as follows:<BR>\n" );
document.write( "for example:<BR>\n" );
document.write( "P = 100<BR>\n" );
document.write( "2L + 2W = 100<BR>\n" );
document.write( "W = L-10, therefore 2L + 2L - 20 = 100<BR>\n" );
document.write( "4L = 120<BR>\n" );
document.write( "L = 30<BR>\n" );
document.write( "W = 20<BR>\n" );
document.write( "2*30 + 2*20 = 60 + 40 = 100<BR>\n" );
document.write( "since W <= L - 10, then W can be anything less than or equal to 20 which means that L can be anything greater than 30.<BR>\n" );
document.write( "W, however, can't be greater than 20 if P = 100, because W would then not be at least 10 less than L.\r<BR>\n" );
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document.write( "example 1:\r<BR>\n" );
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document.write( "W = 10<BR>\n" );
document.write( "2L + 2W = 100<BR>\n" );
document.write( "2L + 20 = 100<BR>\n" );
document.write( "2L = 80<BR>\n" );
document.write( "L = 40<BR>\n" );
document.write( "2*40 + 2*10 = 80 + 20 = 100<BR>\n" );
document.write( "this is ok since W is at least 10 less than L.\r<BR>\n" );
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document.write( "example 2:<BR>\n" );
document.write( "W = 21<BR>\n" );
document.write( "2L + 2W = 100<BR>\n" );
document.write( "2L + 42 = 100<BR>\n" );
document.write( "2L = 58<BR>\n" );
document.write( "L = 29<BR>\n" );
document.write( "2L + 2W = 58 + 42 = 100<BR>\n" );
document.write( "this is not ok since W is not at least 10 less than L.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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