document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=243142>Question 243142</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A piece of aluminium strip of length l m is used to make a window frame.The window frame consists of six identical small rectangles and each rectangle is x m long and y m long wide.Let the total area of the window encompassed by the aluminium stripes be A m^2.(Ignore the width of the aluminium strip in this question.)<BR>\n" );
document.write( "a)Find the maximun value of A in terms of l.<BR>\n" );
document.write( "b)Find the value of x/y so that the area of the window is a maximum allowing a maximum amount of light entering the room. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #178297 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=178297\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A piece of aluminum strip of length l m is used to make a window frame.<BR>\n" );
document.write( "The window frame consists of six identical small rectangles and each rectangle is x m long and y m long wide.Let the total area of the window encompassed by the aluminum stripes be A m^2.(Ignore the width of the aluminum strip in this question.)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Assume they mean L meters, (not 1 meter)<BR>\n" );
document.write( "a)Find the maximum value of A in terms of l.<BR>\n" );
document.write( "Max area is an overall shape of a square<BR>\n" );
document.write( "7 equal strips of aluminum required to have 6 window panes<BR>\n" );
document.write( "A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28L%2F7%29%5E2 ALIGN=MIDDLE  ALT=\"%28L%2F7%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "b)Find the value of x/y so that the area of the window is a maximum allowing a maximum amount of light entering the room.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The shape of the whole window is a square, however, the six panes are rectangular, x by y:<BR>\n" );
document.write( " Ratio: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Fy ALIGN=MIDDLE  ALT=\"x%2Fy\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F2 ALIGN=MIDDLE  ALT=\"3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(The square will be 3 windows long by 2 windows wide)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );