document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=71812>Question 71812</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395771161/algebrahomeworkh>Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> a poster is 25 cm taller than it is wide. it is mounted on a piece of cardboard so that there is a 5 cm border on all sides. if the area of the border alone is 1350 cm^2, what are the dimensions of the poster? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #51510 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=51510\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a poster is 25 cm taller than it is wide. it is mounted on a piece of cardboard<BR>\n" );
document.write( " so that there is a 5 cm border on all sides. if the area of the border alone<BR>\n" );
document.write( " is 1350 cm^2, what are the dimensions of the poster?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let x = width of the poster<BR>\n" );
document.write( "Then (x+25) = length of the poster<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Area of the poster = x(x+25 = (x^2 + 25x)<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "(x + 2(5)) = width of the cardboard the poster is mounted on<BR>\n" );
document.write( "(x+10) = width simplified<BR>\n" );
document.write( ":<BR>\n" );
document.write( "(x + 25 + 2(5)) = length of cardboard<BR>\n" );
document.write( "(x + 35) = length simplified<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Area of card board = (x+10)*(x+35) = (x^2 + 45x + 350)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The equation:<BR>\n" );
document.write( "cardboard area - poster area = border area ( given as 1350 sq/cm)<BR>\n" );
document.write( "(x^2 + 45x + 350) - (x^2 + 25x) = 1350<BR>\n" );
document.write( ":<BR>\n" );
document.write( "x^2 + 45x + 350 - x^2 - 25x = 1350<BR>\n" );
document.write( ":<BR>\n" );
document.write( "x^2 - x^2 + 45x - 25x + 350 = 1350<BR>\n" );
document.write( ":<BR>\n" );
document.write( "20x + 350 = 1350<BR>\n" );
document.write( "20x = 1350 - 350<BR>\n" );
document.write( "20x = 1000<BR>\n" );
document.write( "x = 1000/20<BR>\n" );
document.write( "x = 50 cm is the width of the poster<BR>\n" );
document.write( ":<BR>\n" );
document.write( "50 + 25 = 75 cm is the length of the poster<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "(85*60) - (75*50)<BR>\n" );
document.write( "5100 - 3750 = 1350 sq/cm the given area of the border<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Could you follow this OK, any questions? </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );