document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=855293>Question 855293</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Bryan has 180 feet of fencing to fence off his rectangular garden. He will use the wall of his house as one side of the garden.\r<BR>\n" );
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document.write( "    Write an equation to find the area of the garden.<BR>\n" );
document.write( "    What dimensions create the garden with the greatest area?<BR>\n" );
document.write( "    What is the greatest area?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #515274 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=515274\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Bryan has 180 feet of fencing to fence off his rectangular garden. He will use the wall of his house as one side of the garden. <BR>\n" );
document.write( "Write an equation to find the area of the garden.<BR>\n" );
document.write( "What dimensions create the garden with the greatest area?<BR>\n" );
document.write( "What is the greatest area?<BR>\n" );
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document.write( "Draw a rectangle with length of 2 sides at right angle to house=x<BR>\n" );
document.write( "Length of side parallel to house=180-2x<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Area=x(180-2x)=180x-2x^2<BR>\n" );
document.write( "Area=-2x^2+180<BR>\n" );
document.write( "complete the square:<BR>\n" );
document.write( "Area=-2(x^2-90x+2025)+4050<BR>\n" );
document.write( "Area=-2(x-45)^2+4050 (Equation for area of garden)<BR>\n" );
document.write( "For maximum area:<BR>\n" );
document.write( "x=45<BR>\n" );
document.write( "180-2x=90<BR>\n" );
document.write( "Dimensions that create the garden with the greatest area: 45 by 90 ft<BR>\n" );
document.write( "Greatest area: 4050 sq ft </SPAN>\n" );
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