document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1074737>Question 1074737</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangular garden is fenced on three sides, and the house forms the fourth side of the rectangle. <BR>\n" );
document.write( "Given that the total length of the fence is 80m show that the area, A, of the garden is given by the formula A=y(80-2y), where you is the distance from the house to the end of the garden. <BR>\n" );
document.write( "Given that the area is a maximum for this length of fence, find the dimensions of the enclosed garden, and the area which is enclosed.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #689400 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=689400\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y, length from end of garden to house\r<BR>\n" );
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document.write( "Two of the sides sum to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2By=2y ALIGN=MIDDLE  ALT=\"y%2By=2y\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  The side opposite the house must finish the length of the fence material of 80; so  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80-2y ALIGN=MIDDLE  ALT=\"80-2y\"   DISABLED_style= \"max-width:90%; height:auto;\" > is this length.\r<BR>\n" );
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document.write( "The two dimensions are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80-2y ALIGN=MIDDLE  ALT=\"80-2y\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Area <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=y%2880-2y%29 ALIGN=MIDDLE  ALT=\"A=y%2880-2y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Maximum area is when the rectangle becomes square shaped.<BR>\n" );
document.write( "Since only three sides are to be used for the fence around the garden, each side is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80%2F3=26%262%2F3 ALIGN=MIDDLE  ALT=\"80%2F3=26%262%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > meters. </SPAN>\n" );
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