document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=200083>Question 200083</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangle has the dimensions 0.7x and 5-3x.What value of x gives the maximum area and what is the maximum area?? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #150430 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=150430\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The max area of a rectangle is a square.<BR>\n" );
document.write( "A square has equal sides.<BR>\n" );
document.write( "Hence:<BR>\n" );
document.write( ".7x=5-3x<BR>\n" );
document.write( "3.7x=5<BR>\n" );
document.write( "x=5/3.7 the value of x that gives the maximum area<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".7(5/3.7)*(5-3(5/3.7))<BR>\n" );
document.write( "=(3.5/3.7)*(5-(15/3.7))<BR>\n" );
document.write( "=(3.5/3.7)*((18.5-15)/3.7)<BR>\n" );
document.write( "=(3.5/3.7)(3.5/3.7) proving both sides are equal.<BR>\n" );
document.write( "=(3.5/3.7)^2<BR>\n" );
document.write( "=1225/1369 or.8948... units^2<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );