document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=982771>Question 982771</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The top and bottom margins of a rectangular poster are each 2 inches long, and the side margins are each 1/2 inch long. If the area of the printed material on the poster is fixed at 64 square inches, find the dimensions of the poster with the smallest area A. Also draw a picture of the situation. Please give details on how this would be solved. 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 #603807 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=603807\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The top and bottom margins of a rectangular poster are each 2 inches long,<BR>\n" );
document.write( " and the side margins are each 1/2 inch long.<BR>\n" );
document.write( " If the area of the printed material on the poster is fixed at 64 square inches,<BR>\n" );
document.write( " find the dimensions of the poster with the smallest area A.<BR>\n" );
document.write( " Also draw a picture of the situation.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let L = the length of the printed material<BR>\n" );
document.write( "Let w = the width of the printed material<BR>\n" );
document.write( "We know L*W = 64<BR>\n" );
document.write( "L = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=64%2Fw ALIGN=MIDDLE  ALT=\"64%2Fw\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "The 2\" top and bottom adds 4\" to length<BR>\n" );
document.write( "the 1/2 sides add 1\" to width<BR>\n" );
document.write( "therefore the area of the poster will be<BR>\n" );
document.write( "A = (L+4)*(w+1)<BR>\n" );
document.write( "FOIL<BR>\n" );
document.write( "A = Lw + L + 4w + 4<BR>\n" );
document.write( "We know Lw = 64, therefore<BR>\n" );
document.write( "A = 64 + L + 4w + 4<BR>\n" );
document.write( "A = L + 4w + 68<BR>\n" );
document.write( "replace L with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=64%2Fw ALIGN=MIDDLE  ALT=\"64%2Fw\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=64%2Fw ALIGN=MIDDLE  ALT=\"64%2Fw\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 4w + 68<BR>\n" );
document.write( ":<BR>\n" );
document.write( "plot this equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-6%2C+20%2C+-20%2C+200%2C+%2864%2Fx%29%2B4x%2B68%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-6%2C+20%2C+-20%2C+200%2C+%2864%2Fx%29%2B4x%2B68%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "minimum area occurs when w = 4\" is the width of the text<BR>\n" );
document.write( "then<BR>\n" );
document.write( "64/4 = 16\" is the length of the text<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"find the dimensions of the poster with the smallest area A.\"<BR>\n" );
document.write( "16+4 = 20\" the length of the poster, (2\" margin top and bottom)<BR>\n" );
document.write( "and<BR>\n" );
document.write( "4 + 1 = 5\" the width of the poster, (1/2\" margin on each side) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );