document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=703964>Question 703964</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of a rectangle is a = 3 cm less than twice the width. Express as an integer the maximum width of the rectangle when the perimeter is less than 80 cm.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "This is what I have:\r<BR>\n" );
document.write( "\n" );
document.write( "    80=6w-6<BR>\n" );
document.write( "    +6   +6\r<BR>\n" );
document.write( "\n" );
document.write( "    86=6w<BR>\n" );
document.write( "    ------<BR>\n" );
document.write( "     6  6\r<BR>\n" );
document.write( "\n" );
document.write( "   14.3333333=w<BR>\n" );
document.write( "   14.33=w </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #433827 by </B><A HREF=/tutors/aboutme.mpl?userid=DrBeeee><B>DrBeeee(684)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=DrBeeee><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=433827\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Always check your answer. If the width is 14.33 then the lenght is 28.66 - 3 or 25.66, then the perimeter is 2*(14.33+25.66) or 80. So your answer is correct.<BR>\n" );
document.write( "Let w = the width and<BR>\n" );
document.write( "Let a = length<BR>\n" );
document.write( "Then, from the problem statement we have<BR>\n" );
document.write( "(1) a = 2*w - 3<BR>\n" );
document.write( "The perimeter, p,  is the sum of the 4 side or<BR>\n" );
document.write( "(2) p = 2*a + 2*w or<BR>\n" );
document.write( "(3) p = 2*(2*w - 3) + 2*w or<BR>\n" );
document.write( "(4) p = 4*w - 6 + 2*w or<BR>\n" );
document.write( "(5) p = 6*w - 6<BR>\n" );
document.write( "Using the maximum value of p as 80 we have<BR>\n" );
document.write( "(6) 6*w - 6 <= 80 or<BR>\n" );
document.write( "(7) w <= 86/6 or<BR>\n" );
document.write( "(8) w <= 14.33...<BR>\n" );
document.write( "Answer: The largest integer value of the width is 14 cm. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );