document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=139678>Question 139678</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tutor could you help me please:  A homeowner wants to fence a rectangular garden using 120 ft of fencing. The side of the garage will be used as one side of the rectangle.  Find the dimensions for which the area is a maximum.\r<BR>\n" );
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document.write( "thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #101824 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=101824\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Tutor could you help me please:  A homeowner wants to fence a rectangular garden using 120 ft of fencing. The side of the garage will be used as one side of the rectangle.  Find the dimensions for which the area is a maximum.<BR>\n" );
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document.write( "Draw the picture.<BR>\n" );
document.write( "You have three lengths of fence; two are equal so call them \"x\": one <BR>\n" );
document.write( "is not equal but it can be called 120-2x because it is the rest of<BR>\n" );
document.write( "the fence after you have used up the two x's.<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "Area of the rectangle = x*(120-2x) = 120x-2x^2<BR>\n" );
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document.write( "That is a quadratic with a=-2 and b = 120<BR>\n" );
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document.write( "The maximum occurs when x = -b/2a = -120/(2*-2) = 30<BR>\n" );
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document.write( "So the two equal sides are each 30 ft.<BR>\n" );
document.write( "The other side is 120 - 2x = 120 - 2*30 = 60 ft.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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