document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=199939>Question 199939</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A farmer decides to enclose a rectangle garden using one side of the barn as a side to the rectangle. What is the maximum area that the farmer can enclose with 100 ft of fence? What should the deminsons of the garden be to give this area?\r<BR>\n" );
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document.write( "Maximum area that the farmer can enclose with 100 ft of fence__________sq.ft.\r<BR>\n" );
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document.write( "Deminsons of the garden to give this area is 50 ft by __________ft. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #150310 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=150310\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A farmer decides to enclose a rectangle garden using one side of the barn as<BR>\n" );
document.write( " a side to the rectangle. What is the maximum area that the farmer can enclose<BR>\n" );
document.write( " with 100 ft of fence? What should the dimensions of the garden be to give this area?\r<BR>\n" );
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document.write( "Maximum area that the farmer can enclose with 100 ft of fence__________sq.ft.<BR>\n" );
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document.write( "Let x = the width of the garden<BR>\n" );
document.write( "Let L = the length<BR>\n" );
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document.write( "The perimeter equation for 3 sides:<BR>\n" );
document.write( "L + 2x = 100<BR>\n" );
document.write( "L = (100-2x)<BR>\n" );
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document.write( "The area equation:<BR>\n" );
document.write( "A = x * L<BR>\n" );
document.write( "Replace L with (100-2x)<BR>\n" );
document.write( "A = x(100-2x)<BR>\n" );
document.write( "A = -2x^2 + 100x<BR>\n" );
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document.write( "Find the axis of symmetry of this quadratic equation a=-2; b=100<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-100%29%2F%282%2A-2%29 ALIGN=MIDDLE  ALT=\"%28-100%29%2F%282%2A-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-100%29%2F%28-4%29 ALIGN=MIDDLE  ALT=\"%28-100%29%2F%28-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = +25 ft is the width for max area<BR>\n" );
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document.write( "L = 100 - 2(25)<BR>\n" );
document.write( "L = 50 ft<BR>\n" );
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document.write( "Max area: 50 * 25 = 1250 sq/ft <BR>\n" );
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