document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=995443>Question 995443</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangular plot of the ground is to be enclosed by a fence and then divided down the middle by another fence. The fence down the middle costs $3 per running foot and the other fence costs 6$ per running foot. If the area of the plot is to be 1800ft² and the cost of the fence is not to exceed $2310, what are the restrictions on the dimensions of the plot? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #614250 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=614250\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A rectangular plot of the ground is to be enclosed by a fence and then divided down the middle by another fence.<BR>\n" );
document.write( " The fence down the middle costs $3 per running foot and the other fence costs 6$ per running foot.<BR>\n" );
document.write( " If the area of the plot is to be 1800ft² and the cost of the fence is not to exceed $2310, what are the restrictions on the dimensions of the plot?<BR>\n" );
document.write( ": <BR>\n" );
document.write( "Let L = the length of the plot<BR>\n" );
document.write( "Let W = the width<BR>\n" );
document.write( "Therefore<BR>\n" );
document.write( "L*W = 1800<BR>\n" );
document.write( "L = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1800%2FW ALIGN=MIDDLE  ALT=\"1800%2FW\"   DISABLED_style= \"max-width:90%; height:auto;\" >, (use this form for substitution)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The fence cost<BR>\n" );
document.write( "6(2L) + 6(2W) + 3W = 2310<BR>\n" );
document.write( "12L + 12W + 3W = 2310<BR>\n" );
document.write( "12L + 15W = 2310<BR>\n" );
document.write( "Simplify, divide by 3<BR>\n" );
document.write( "4L + 5W = 770<BR>\n" );
document.write( "Replace L with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1800%2FW ALIGN=MIDDLE  ALT=\"1800%2FW\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "4(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1800%2FW ALIGN=MIDDLE  ALT=\"1800%2FW\"   DISABLED_style= \"max-width:90%; height:auto;\" >) + 5W = 770<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7200%2FW ALIGN=MIDDLE  ALT=\"7200%2FW\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 5W = 770<BR>\n" );
document.write( "Simplify, divide by 5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1440%2FW ALIGN=MIDDLE  ALT=\"1440%2FW\"   DISABLED_style= \"max-width:90%; height:auto;\" > + W = 154<BR>\n" );
document.write( "multiply equation by W<BR>\n" );
document.write( "1440 + W^2 = 154W<BR>\n" );
document.write( "A quadratic equation<BR>\n" );
document.write( "W^2 - 154W + 1440 = 0<BR>\n" );
document.write( "You can use the quadratic formula; a=1, b=-154, c=1440, but this will factor to:<BR>\n" );
document.write( "(W-10)(W-144) = 0<BR>\n" );
document.write( "Two solutions<BR>\n" );
document.write( "W = 10<BR>\n" );
document.write( "W = 144<BR>\n" );
document.write( ":<BR>\n" );
document.write( "If W = 10 ft, then 1800/10 = 180 ft is the length, for $2310 fence cost<BR>\n" );
document.write( "Check the cost: 6(2*10) + 6(2*180) + 3(10) = 2310<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The other solution W = 144, the Length is 1800/144 = 12.5ft, does not seem reasonable although, it too will cost $2310<BR>\n" );
document.write( "6(2*144) + 6(2*12.5) + 3(144) = 2310  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );