document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=213298>Question 213298</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 4.) Find the maximum possible area of a rectangle with a perimeter of 100 feet.\r<BR>\n" );
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document.write( "I've drawn a picture, labeled both the length and width on the rectangle, and written down the formulas for perimeter and area.  \r<BR>\n" );
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document.write( "But now... I'm stuck. If you could explain how to finish this problem.. I would be grateful! Thank you!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #161137 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=161137\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the maximum possible area of a rectangle with a perimeter of 100 feet. <BR>\n" );
document.write( "I've drawn a picture, labeled both the length and width on the rectangle, and written down the formulas for perimeter and area. <BR>\n" );
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document.write( "Perimeter = 2(L + W)<BR>\n" );
document.write( "100 = 2(L+W)<BR>\n" );
document.write( "L+W = 50<BR>\n" );
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document.write( "Let width be W<BR>\n" );
document.write( "Then length = 50-W<BR>\n" );
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document.write( "Area = length * width<BR>\n" );
document.write( "A = (50-W)W<BR>\n" );
document.write( "A = 50W-W^2<BR>\n" );
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document.write( "This is a quadratic with a = -1, b = 50:<BR>\n" );
document.write( "Maximum area occurs when W = -b/2a = -50/-2 = 25<BR>\n" );
document.write( "Since W = 25 and L+W=50, L = 25<BR>\n" );
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document.write( "Maximum area is 25*25 = 625 sq. units<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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