document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=676225>Question 676225</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A homeowner wants to enclose a 5,300 square foot rectangular garden by a fence in his backyard. If 3 sides of the fence cost $8.25 per foot and the 4th side costs $11.25 per foot, find the dimensions that will minimize the cost of building the fence and the minimum cost of its construction.\r<BR>\n" );
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document.write( "Please help, I am very confused! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #420338 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=420338\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  A homeowner wants to enclose a 5,300 square foot rectangular garden by a fence in his backyard.<BR>\n" );
document.write( " If 3 sides of the fence cost $8.25 per foot and the 4th side costs $11.25 per<BR>\n" );
document.write( " foot, find the dimensions that will minimize the cost of building the fence<BR>\n" );
document.write( " and the minimum cost of its construction.<BR>\n" );
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document.write( "Let L = the length of the garden<BR>\n" );
document.write( "Let W = the width<BR>\n" );
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document.write( "The required area will establish the relationship between the length and width<BR>\n" );
document.write( "L*W = 5300<BR>\n" );
document.write( "L = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5300%2FW ALIGN=MIDDLE  ALT=\"5300%2FW\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The cost is the sum of all the sides, one width cost more than the other<BR>\n" );
document.write( "C = 8.25(2L) + 8.25W + 11.25W<BR>\n" );
document.write( "C = 16.50L + 19.50W<BR>\n" );
document.write( "Replace L with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5300%2FW ALIGN=MIDDLE  ALT=\"5300%2FW\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "C = 16.5(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5300%2FW ALIGN=MIDDLE  ALT=\"5300%2FW\"   DISABLED_style= \"max-width:90%; height:auto;\" >) + 19.5W<BR>\n" );
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document.write( "Plot this on your graphing calc: y = 16.5(5300/x) + 19.5x<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-50%2C+150%2C+-1000%2C+5000%2C+16.5%285300%2Fx%29%2B19.5x%29++ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-50%2C+150%2C+-1000%2C+5000%2C+16.5%285300%2Fx%29%2B19.5x%29++\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This shows a minimum when x ~ 67<BR>\n" );
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document.write( "Find the dimensions<BR>\n" );
document.write( "W ~ 67 ft<BR>\n" );
document.write( "L = 5300/67<BR>\n" );
document.write( "L ~ 79 ft<BR>\n" );
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document.write( "Dimensions for minimum cost: 79 by 67 ft<BR>\n" );
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