document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=869244>Question 869244</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the perimeter of a rectangle is 56 yards. what are the dimensions of the rectangle with maximum 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 #524092 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=524092\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the perimeter of a rectangle is 56 yards. what are the dimensions of the rectangle with maximum area?<BR>\n" );
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document.write( "let x=length<BR>\n" );
document.write( "let y=width<BR>\n" );
document.write( "2x+2y=56<BR>\n" );
document.write( "x+y=28<BR>\n" );
document.write( "y=28-x<BR>\n" );
document.write( "Area=xy=x(28-x)=28x-x^2<BR>\n" );
document.write( "Area=-x^2+28x<BR>\n" );
document.write( "complete the square:<BR>\n" );
document.write( "Area=-(x^2-28x+196)+196<BR>\n" );
document.write( "=-(x-14)^2+196<BR>\n" );
document.write( "This is an equation of a parabola that opens downward with vertex at (14,196), which means maximum area of 196 occurs when x, the length=14)<BR>\n" );
document.write( "dimensions of the rectangle with maximum area? 14 yds by 14 yds, a square. </SPAN>\n" );
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