document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=356487>Question 356487</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A poster is 25 centimeters taller than it is wide. It is mounted on a piece of cardboard so that there is a 5 centimeter border on all sides. If the area of the border alone is 1350 centimeters squared, what are the dimensions of the poster?\r<BR>\n" );
document.write( "\n" );
document.write( "here is what i have so far, but now i'm stuck:<BR>\n" );
document.write( "(w squared + 25w + 10) (w+10) = 1350 + (w squared + 25w)    ... then i used FOIL to get:<BR>\n" );
document.write( "w cubed + 10w + 10w + 100 = 1350 + (w squared + 25w)<BR>\n" );
document.write( "w cubed + 20w = 1250 + (w squared + 25w)<BR>\n" );
document.write( "w cubed = 1250 + (w squared + 5w)\r<BR>\n" );
document.write( "\n" );
document.write( "thank you for your help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #254751 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=254751\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A poster is 25 centimeters taller than it is wide.<BR>\n" );
document.write( " It is mounted on a piece of cardboard so that there is a 5 centimeter border on all sides.<BR>\n" );
document.write( " If the area of the border alone is 1350 centimeters squared, what are the dimensions of the poster?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "We can do it this way, it's easier, we can get rid of those exponents.<BR>\n" );
document.write( "Let x = the poster width<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(x+25) = poster height<BR>\n" );
document.write( "and poster area:<BR>\n" );
document.write( "x(x+25) = x^2+ 25x <BR>\n" );
document.write( ":<BR>\n" );
document.write( "Cardboard dimension (5 cm border adds 10 cm to each dimension)<BR>\n" );
document.write( "(x+10) = cardboard width<BR>\n" );
document.write( "then<BR>\n" );
document.write( "x + 25 + 10 = (x+35) = cardboard height <BR>\n" );
document.write( "and cardboard area<BR>\n" );
document.write( "(x+10)*(x+35) = x^2 + 45x + 350<BR>\n" );
document.write( ":<BR>\n" );
document.write( "we know cardboard area - poster area = 1350 sq/cm<BR>\n" );
document.write( "therefore:<BR>\n" );
document.write( "(x^2 + 45x + 350) - (x^2 + 25x) = 1350<BR>\n" );
document.write( "removed brackets<BR>\n" );
document.write( "x^2 + 45x + 350 - x^2 - 25x = 1350<BR>\n" );
document.write( "Combine<BR>\n" );
document.write( "x^2 - x^2 + 45x - 25x = 1350 - 350<BR>\n" );
document.write( "20x = 1000<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1000%2F20 ALIGN=MIDDLE  ALT=\"1000%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 50 cm is the poster width,<BR>\n" );
document.write( "then<BR>\n" );
document.write( "50 + 25 = 75 cm is the poster height<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "See if that works out (Cardboard will be 85 by 60)<BR>\n" );
document.write( "(85*60) - (75*50) = <BR>\n" );
document.write( "5100 - 3750 = 1350; confirms our solution<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "did this make sense to you? </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );