document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=568975>Question 568975</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3. A wire 100 inches long is bent into a rectangle. If the width is<BR>\n" );
document.write( "x,<BR>\n" );
document.write( "3. How is length represented? What is the function for area?<BR>\n" );
document.write( "4. What must be the dimensions of the rectangle so that area is a<BR>\n" );
document.write( "maximum?<BR>\n" );
document.write( "5. What is the maximum area possible? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #367195 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=367195\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3. A wire 100 inches long is bent into a rectangle. If the width is<BR>\n" );
document.write( "x,<BR>\n" );
document.write( "3. How is length represented? What is the function for area?<BR>\n" );
document.write( "4. What must be the dimensions of the rectangle so that area is a<BR>\n" );
document.write( "maximum?<BR>\n" );
document.write( "5. What is the maximum area possible?<BR>\n" );
document.write( "==========================================<BR>\n" );
document.write( "The perimeter P = 2(l+x) = 100<BR>\n" );
document.write( "So l+x = 50 -> l = 50-x<BR>\n" );
document.write( "The area, A = l*x = x(50-x) = 50x - x^2<BR>\n" );
document.write( "To maximize the area, set dA/dx = 0:<BR>\n" );
document.write( "dA/dx = 50 - 2x = 0<BR>\n" );
document.write( "This gives x = 25, which means the length is also 25, so the area is maximized when it is a square<BR>\n" );
document.write( "The maximum area is 25*25 = 625 in^2 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );