document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=800389>Question 800389</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The total area of four sides of a rectangular box of height 3 cm is 72 cm^2.If the length were to be increased by 10% and the breadth decreased by 20%, this area would remain unchanged.Find the length and breadth of the box. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #483181 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=483181\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The total area of four sides of a rectangular box of height 3 cm is 72 cm^2.<BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "2(3L) + 2(3W) = 72<BR>\n" );
document.write( "simplify, divide by 2<BR>\n" );
document.write( "3L + 3W = 36<BR>\n" );
document.write( ":<BR>\n" );
document.write( "If the length were to be increased by 10% and the breadth decreased by 20%, this area would remain unchanged.Find the length and breadth of the box.<BR>\n" );
document.write( "A 10% increase in Length would be 1.1L<BR>\n" );
document.write( "A 20% decrease in width would be .8W<BR>\n" );
document.write( "Therefore<BR>\n" );
document.write( "2(3*1.1L) + 2(3*.8W) = 72<BR>\n" );
document.write( "simplify you have<BR>\n" );
document.write( "3.3L + 2.4W = 36<BR>\n" );
document.write( "Multiply the first equation by .8, subtract it from the above equation<BR>\n" );
document.write( "3.3L + 2.4W = 36<BR>\n" );
document.write( "2.4L + 2.4W = 28.8<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( ".9L = 7.2<BR>\n" );
document.write( "L = 7.2/.9<BR>\n" );
document.write( "L = 8 cm, the original length<BR>\n" );
document.write( "then<BR>\n" );
document.write( "3(8) + 3W = 36<BR>\n" );
document.write( "3W = 36-24<BR>\n" );
document.write( "W = 12/3<BR>\n" );
document.write( "W = 4 cm is the original width<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "I'll let you confirm this solution in the 2nd statement<BR>\n" );
document.write( "1.1(8) = 8.8 cm increase length<BR>\n" );
document.write( ".8(4) = 3.2 cm the decreased width<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );