document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=914250>Question 914250</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rancher has 840 feet of fencing to construct 6 corrals. FInd the dimensions that maximize the enclosed area. What are the dimensions? What are the larger dimensions, smaller dimensions and area? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #554958 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=554958\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Does more information come with this question?  Six separate corrals, not connected to each other?  \r<BR>\n" );
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document.write( "Maybe x and y, dimensions of each corral, all corrals congruent.  ASSUMING rectangle shape.\r<BR>\n" );
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document.write( "The fencing is the sum of the perimeters.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%282x%2B2y%29=840 ALIGN=MIDDLE  ALT=\"6%282x%2B2y%29=840\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%28x%2By%29=840 ALIGN=MIDDLE  ALT=\"12%28x%2By%29=840\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=70 ALIGN=MIDDLE  ALT=\"x%2By=70\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Total area, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=6xy ALIGN=MIDDLE  ALT=\"A=6xy\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Substitute for either variable, choosing y, in the area equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=6x%2870-x%29 ALIGN=MIDDLE  ALT=\"A=6x%2870-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Do some steps,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=-6x%5E2%2B420 ALIGN=MIDDLE  ALT=\"A=-6x%5E2%2B420\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but maybe not necessary in that form.\r<BR>\n" );
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document.write( "A is a parabola opening downward having a vertex as a maximum point, which is what you want to solve for.  Find the roots!<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=0=6x%2870-x%29 ALIGN=MIDDLE  ALT=\"A=0=6x%2870-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6x%28x-70%29=0 ALIGN=MIDDLE  ALT=\"-6x%28x-70%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Roots are 0 and 70.<BR>\n" );
document.write( "The vertex will be for the exact middle of these roots, which will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=35%29 ALIGN=MIDDLE  ALT=\"highlight%28x=35%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Notice that according to the earlier found equation from perimeter, x+y=70, which means that also <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=35%29 ALIGN=MIDDLE  ALT=\"highlight%28y=35%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "Each corral will be a square with side 35 feet.\r<BR>\n" );
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document.write( "Based on the questions part of what you posted, some of the description is missing and so maybe the answer I found does not fit what you really were given.  I could only assume that your six corrals would be rectangles and not connected to each other.  Otherwise, give the complete problem description. </SPAN>\n" );
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