document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=541836>Question 541836</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Al Yazia has 24 meter of fence. she want to make the largest rectangular area possible for her rabbit to play in. What length should make each side of the rabbit pen? (Show all your work and explain how you find the largest area.\r<BR>\n" );
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document.write( "queenex3000@hotmail.com </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #354311 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=354311\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Al Yazia has 24 meter of fence. she want to make the largest rectangular area possible for her rabbit to play in. What length should make each side of the rabbit pen? (Show all your work and explain how you find the largest area.<BR>\n" );
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document.write( "It's a square, 6 meters on a side = 36 sq meters.<BR>\n" );
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document.write( "Perimeter = 2L + 2W = 24<BR>\n" );
document.write( "L + W = 12<BR>\n" );
document.write( "W = 12 - L<BR>\n" );
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document.write( "Area = L*W = L*(12 - L)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Area+=+12L+-+L%5E2 ALIGN=MIDDLE  ALT=\"Area+=+12L+-+L%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-L%5E2+%2B+12L+-+Area+=+0 ALIGN=MIDDLE  ALT=\"-L%5E2+%2B+12L+-+Area+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The coefficient of the L^2 is negative, so it's a maximum.<BR>\n" );
document.write( "Find the vertex of the parabola<BR>\n" );
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document.write( "Line of Symmetry = -b/2a = -12/-2<BR>\n" );
document.write( "L = 6<BR>\n" );
document.write( "The vertex is on the LOS, so L = 6 is the maximum.<BR>\n" );
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document.write( "6*6 = 36<BR>\n" );
document.write( "5*7 = 35<BR>\n" );
document.write( "4*8 = 32<BR>\n" );
document.write( "Any other combination is less than 36.<BR>\n" );
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