document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=333504>Question 333504</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi; I was hoping someone could help me with this problem.\r<BR>\n" );
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document.write( "Maximum area.  Jason plans to fence a rectangular area with 100 meters of fencing.  He has written the formula A = w(50 - w) to express the area in terms of the width w. What is the maximum possible area that he can enclose with his fencing?\r<BR>\n" );
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document.write( "Just by \"guessing\" I come up with a width of 25m and a length of 25 meters. How do I figure area?  The answer in the back of the book says it's 625 meters, but I don't know how they got this. \r<BR>\n" );
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document.write( "Help please?!??\r<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 #238973 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=238973\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Jason plans to fence a rectangular area with 100 meters of fencing. He has written the formula A = w(50 - w) to express the area in terms of the width w. What is the maximum possible area that he can enclose with his fencing? <BR>\n" );
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document.write( "A = w(50-w)<BR>\n" );
document.write( "A = 50w-w^2<BR>\n" );
document.write( "-w^2++50w<BR>\n" );
document.write( "a = -1 ; b = 50<BR>\n" );
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document.write( "Maximum area occurs when w = -b/2a = -50/(2*-1) = 25<BR>\n" );
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document.write( "Then 50-w = 25<BR>\n" );
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document.write( "Maximum area = 25*25 = 625 sq meters<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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