document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=271986>Question 271986</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please help me with this word problem:\r<BR>\n" );
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document.write( "The area of a rectangle with the perimeter 100 in. is given by the formula:  A=50w-w^2 where w is the width.  Find the value of w that produces the maximum area.  \r<BR>\n" );
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document.write( "the only way i could try to figure this out is to make columns with the length and width dimensions that equal 100 in perimeter and plug the width into the equation.  I started using the width of 45 and worked down to 30 which has the area of 600.  But since a square is also a rectangle, do I use 25?  Is there an easier way to figure this?  Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #199053 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=199053\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The area of a rectangle with the perimeter 100 in.<BR>\n" );
document.write( " is given by the formula: A=50w-w^2 where w is the width.<BR>\n" );
document.write( " Find the value of w that produces the maximum area.<BR>\n" );
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document.write( "There is an easy way, this is a quadratic equation, <BR>\n" );
document.write( "then put the given equation A = 50w - w^2 in the form y = ax^2 + bx + c<BR>\n" );
document.write( "y = -w^2 + 50w where: a=-1, b=50<BR>\n" );
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document.write( "Find the axis of symmetry using the formula x = -b/(2a), in this equation<BR>\n" );
document.write( "w = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-50%29%2F%282%2A-1%29 ALIGN=MIDDLE  ALT=\"%28-50%29%2F%282%2A-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "w = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-50%29%2F%28-2%29 ALIGN=MIDDLE  ALT=\"%28-50%29%2F%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "w = 25 in will produce max area<BR>\n" );
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document.write( "The max area of any rectangle is a square, a fact to remember. </SPAN>\n" );
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