document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1073903>Question 1073903</A>: <I><SPAN STYLE=\"word-break: break-all;\"> for 100 ft edging materials, <BR>\n" );
document.write( "what are the dimensions of the rectangle with the maximum area?<BR>\n" );
document.write( "what is the area?<BR>\n" );
document.write( "what is the area is changing the shape to a perfect circle?<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 #688684 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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/cgi-bin/show-face.mpl?user=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=688684\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let l be the length and w be the width, then<BR>\n" );
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document.write( "2l + 2w = 100<BR>\n" );
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document.write( "1) l + w = 50<BR>\n" );
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document.write( "2) Area(A) of rectangle = l * w<BR>\n" );
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document.write( "solve equation 1 for l and substitute for l in equation 2<BR>\n" );
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document.write( "l = 50 - w<BR>\n" );
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document.write( "A = (50 - w) * w = 50w - w^2<BR>\n" );
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document.write( "To find max area, we take the first derivative and set it equal to zero since A is the equation for a parabola that opens downward<BR>\n" );
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document.write( "A' = 50 - 2w<BR>\n" );
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document.write( "50 -2w = 0<BR>\n" );
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document.write( "w = 25 and l = 25<BR>\n" );
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document.write( "max A = 25 * 25 = 625 square feet<BR>\n" );
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document.write( "circumference(C) of a circle = pi * diameter(d)<BR>\n" );
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document.write( "100 = (22/7) * d<BR>\n" );
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document.write( "d = (100 * 7) / 22 = 31.8182<BR>\n" );
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document.write( "radius(r) = 31.8182 / 2 = 15.9091<BR>\n" );
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document.write( "Area of circle = pi * r^2 = (22/7) * (15.9091)^2 = 795.4555 square feet<BR>\n" );
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