document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=24591>Question 24591</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Randy is building a fence at the side of his warehouse. He has 120 m of fencing and plans to use the side of the warehouse as one side of the rectangular fenced area. What are the dimensions of the maximum area Randy can enclose?\r<BR>\n" );
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document.write( "* I REALLY NEED HELP WITH THIS>.its due tomorrow </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #13104 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=13104\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Is this for a calculus class?<BR>\n" );
document.write( "You don't need calculus to solve it anyway<BR>\n" );
document.write( "Always draw a picture\r<BR>\n" );
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document.write( "|------------------|<BR>\n" );
document.write( "|wwwwwwwwarew|<BR>\n" );
document.write( "|wwwwwwhouseww|  <BR>\n" );
document.write( "|------------------|<BR>\n" );
document.write( "|aaaafencedaaaaaa|   <BR>\n" );
document.write( "|------------------|\r<BR>\n" );
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document.write( "call the sides of the fenced area x. both sides are equal in a rectangle<BR>\n" );
document.write( "the sum of the 2 sides is 2x<BR>\n" );
document.write( "if there are 120m of fencing, the third side is 120 - 2x<BR>\n" );
document.write( "so the equation for area is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+x%2A%28120+-+2%2Ax%29 ALIGN=MIDDLE  ALT=\"A+=+x%2A%28120+-+2%2Ax%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "expanding<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+120+%2A+x+-+2%2Ax%5E2 ALIGN=MIDDLE  ALT=\"A+=+120+%2A+x+-+2%2Ax%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "try plugging in values for x to see what A is<BR>\n" );
document.write( "x = 10<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+120+%2A+10+-+2+%2A+%2810%5E2%29 ALIGN=MIDDLE  ALT=\"A+=+120+%2A+10+-+2+%2A+%2810%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A = 1000<BR>\n" );
document.write( "x = 20<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+120+%2A+20+-+2+%2A+%2820%5E2%29 ALIGN=MIDDLE  ALT=\"A+=+120+%2A+20+-+2+%2A+%2820%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A = 1600<BR>\n" );
document.write( "x = 40<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+120+%2A+40+-+2+%2A+%2840%5E2%29 ALIGN=MIDDLE  ALT=\"A+=+120+%2A+40+-+2+%2A+%2840%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A = 1600<BR>\n" );
document.write( "I get the same answer for x = 20 and x = 40, so the max must be in between,<BR>\n" );
document.write( "since the curve is a parabola<BR>\n" );
document.write( "x = 30<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+120+%2A+30+-+2+%2A+%2830%5E2%29 ALIGN=MIDDLE  ALT=\"A+=+120+%2A+30+-+2+%2A+%2830%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A = 1800<BR>\n" );
document.write( "that is the max area in square meters, so the sides are 30 m and the third side<BR>\n" );
document.write( "is 120 - 2(30) = 60 meters<BR>\n" );
document.write( "check: 30 * 60 = 1800 m^2 for the area<BR>\n" );
document.write( "and 2 * 30 + 60 = 120 for the length </SPAN>\n" );
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