document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=973099>Question 973099</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A problem on my math homework really gave me a hard time trying to understand it because it didnt make any sense to me... this is the question..<BR>\n" );
document.write( "\"Suppose you want to enclose a garden with 26 m of fencing. If the back of the garden is enclosed by a stone wall, 20 m long, what size rectangle would maximize the area of the garden?\"<BR>\n" );
document.write( "i tried to draw a picture, but it just doesnt make any sense...unless i am making a mistake with my diagram, at first i thought it could be a \"20x3\" rectangle but im not sure how i did that, could you please explain this to me.. thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #595358 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=595358\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Draw a rectangle, and make one dimension to be 20 units long, and the other dimension is made as unknown.\r<BR>\n" );
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document.write( "As given, 26 units  (or meters) of fencing.  AND  one of the sides of the garden is already taking 20 meters of the stone wall, so that will be 20 meters of fencing not needed for the garden.\r<BR>\n" );
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document.write( "Using x as the unknown dimenison of the garden,<BR>\n" );
document.write( "account for the amount of fencing to use, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B20=26 ALIGN=MIDDLE  ALT=\"2x%2B20=26\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B10=13 ALIGN=MIDDLE  ALT=\"x%2B10=13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3 ALIGN=MIDDLE  ALT=\"x=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Intuitive sense tells you that you do not want to use a length for x less than 3, because this will only DECREASE the garden area; <s> you cannot increase x, because the calculation must made for for using all 20 meters of the stone wall.</s><BR>\n" );
document.write( "Say y and x are the dimensions.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy=A ALIGN=MIDDLE  ALT=\"xy=A\"   DISABLED_style= \"max-width:90%; height:auto;\" > for area;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2By=26 ALIGN=MIDDLE  ALT=\"2x%2By=26\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3C=20 ALIGN=MIDDLE  ALT=\"y%3C=20\"   DISABLED_style= \"max-width:90%; height:auto;\" >, positive numbers only.<BR>\n" );
document.write( "-\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=26-2x ALIGN=MIDDLE  ALT=\"y=26-2x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "substitute,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2826-2x%29=A ALIGN=MIDDLE  ALT=\"x%2826-2x%29=A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28A=-2x%5E2%2B26x%29 ALIGN=MIDDLE  ALT=\"highlight_green%28A=-2x%5E2%2B26x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You want to find which x value is in the <b>exact middle of the roots</b> of the equation  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x%5E2%2B26x=0 ALIGN=MIDDLE  ALT=\"-2x%5E2%2B26x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which will be the maximum value for where A is maximum.  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x%28x-13%29=0 ALIGN=MIDDLE  ALT=\"-2x%28x-13%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Roots are 0 and 13.<BR>\n" );
document.write( "Mid-value is at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=6.5 ALIGN=MIDDLE  ALT=\"x=6.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "from this, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=13 ALIGN=MIDDLE  ALT=\"y=13\"   DISABLED_style= \"max-width:90%; height:auto;\" >, for the side opposite from the stone wall. </SPAN>\n" );
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