document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=574788>Question 574788</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what shape can i make with 16 yards of fencing?? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #369316 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=369316\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Theoretically, you could make any shape you want.<BR>\n" );
document.write( "To get the absolute maximum fenced area, you would have to make a circle.<BR>\n" );
document.write( "However, the most traditional shape made with fence is a rectangle.<BR>\n" );
document.write( "The largest rectangular area that you could fence with 16 yards of fencing would be a 4 yard by 4 yard rectangle, with an area of 16 square yards. That is what most people would call a square, but a square is a special kind of rectangle.<BR>\n" );
document.write( "Here are a few possible rectangles:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C200%2C-2%2C13%2C-1%2C9%2C%0D%0Arectangle%280%2C1%2C7%2C2%29%2C%0D%0Arectangle%288%2C0%2C11%2C5%29%2C%0D%0Arectangle%280%2C4%2C4%2C8%29%2C%0D%0Alocate%28-0.5%2C2%2C1%29%2Clocate%283%2C1%2C7%29%2Clocate%282%2C0.5%2C%22Area=7%22%29%2C%0D%0Alocate%2811.2%2C3%2C5%29%2Clocate%289.3%2C0%2C3%29%2Clocate%288%2C6%2C%22Area=15%22%29%2C%0D%0Alocate%281.8%2C4%2C4%29%2Clocate%284.2%2C6.5%2C4%29%2Clocate%280.5%2C6.5%2C%22Area=16%22%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "INVOLVING ALGEBRA<BR>\n" );
document.write( "In a rectangle, if the perimeter is 16 yards, and the side lengths (in yards) are x and y,<BR>\n" );
document.write( "2(x+y)=16 --> x+y=8 --> y=8-x<BR>\n" );
document.write( "The area (in square yards) would be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Area=x%2Ay=x%288-x%29=-x%5E2%2B8x ALIGN=MIDDLE  ALT=\"Area=x%2Ay=x%288-x%29=-x%5E2%2B8x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Rearranging we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Area=-x%5E2%2B8x-16%2B16=-%28x%5E2%2B8x-16%29%2B16=16-%28x-4%29%5E2 ALIGN=MIDDLE  ALT=\"Area=-x%5E2%2B8x-16%2B16=-%28x%5E2%2B8x-16%29%2B16=16-%28x-4%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-4%29%5E2%3E=0 ALIGN=MIDDLE  ALT=\"%28x-4%29%5E2%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the maximum area will be 16 and will happen when<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-4%29%5E2=0 ALIGN=MIDDLE  ALT=\"%28x-4%29%5E2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > <--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-4=0 ALIGN=MIDDLE  ALT=\"x-4=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > <--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4 ALIGN=MIDDLE  ALT=\"x=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OTHER SHAPES<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28600%2C300%2C-9.5%2C8.5%2C-4.5%2C4.5%2C%0D%0Aline%28-1-sqrt%282%29%2C-1%2C-1-sqrt%282%29%2C1%29%2C+line%28-1-sqrt%282%29%2C1%2C-1%2C1%2Bsqrt%282%29%29%2C+line%28-1%2C1%2Bsqrt%282%29%2C1%2C1%2Bsqrt%282%29%29%2Cline%281%2C1%2Bsqrt%282%29%2C1%2Bsqrt%282%29%2C1%29%2C%0D%0Aline%281%2Bsqrt%282%29%2C1%2C1%2Bsqrt%282%29%2C-1%29%2C+line%281%2Bsqrt%282%29%2C-1%2C1%2C-1-sqrt%282%29%29%2C%0D%0Aline%281%2C-1-sqrt%282%29%2C-1%2C-1-sqrt%282%29%29%2C+line%28-1%2C-1-sqrt%282%29%2C-1-sqrt%282%29%2C-1%29%2C%0D%0Acircle%28-6%2C0%2C2.5465%29%2C%0D%0Aline%285%2C-2.343%2C5%2C-1%29%2Cline%285%2C-1%2C4%2C0%29%2C%0D%0Aline%284%2C0%2C5%2C1%29%2C+line%285%2C1%2C4%2C2%29%2Cline%284%2C2%2C5%2C3%29%2Cline%285%2C3%2C6%2C3%29%2C%0D%0Aline%285%2C2%2C6%2C3%29%2Cline%286%2C1%2C5%2C2%29%2Cline%285%2C0%2C6%2C1%29%2Cline%286%2C-1%2C5%2C0%29%2C%0D%0Aline%286%2C-2.343%2C6%2C-1%29%2Cline%286%2C-2.343%2C5%2C-2.343%29%2C%0D%0Alocate%28-2%2C-2.5%2Cregular%29%2Clocate%280%2C-2.5%2Coctagon%29%2C+locate%28-0.1%2C2.4%2C2%29%2C%0D%0Alocate%28-1.5%2C-0.2%2Cabout%29%2Clocate%280%2C-0.2%2C19.3%29%2Clocate%28-1.5%2C0.5%2CArea=8%2B8sqrt%282%29%29%2C%0D%0Aarrow%28-6.5%2C0%2C-8.5465%2C0%29%2C+arrow%28-5.5%2C0%2C-3.4535%2C0%29%2Clocate%28-6.2%2C0.6%2C8%2Fpi%29%2C%0D%0Alocate%28-7%2C-0.5%2CArea=64%2Fpi%29%2C+locate%28-7.2%2C-1.8%2C%22about+20.4%22%29%2C%0D%0Alocate%285.4%2C3.5%2C1%29%2Clocate%285.6%2C0.7%2Csqrt%282%29%29%2Clocate%286%2C-1.5%2C7-4sqrt%282%29%29%2C%0D%0Aarrow%287%2C1%2C7%2C3%29%2Carrow%287%2C0.5%2C7%2C-1%29%2Clocate%286.9%2C1%2C4%29%2C%0D%0Alocate%285%2C-2.4%2CArea=11-4sqrt%282%29%29%2Clocate%285%2C-3%2C%22about+5.34%22%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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