document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=913079>Question 913079</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, I'm having trouble with this problem.<BR>\n" );
document.write( "Tina made a quilt that was 8 inches taller than it was wide. She then sewed a 4 inch border around the entire quilt. If the area of the quilt and its border is 1920 square inches, find the dimensions of the quilt without the border? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #554319 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=554319\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Tina made a quilt that was 8 inches taller than it was wide.<BR>\n" );
document.write( " She then sewed a 4 inch border around the entire quilt.<BR>\n" );
document.write( " If the area of the quilt and its border is 1920 square inches, find the dimensions of the quilt without the border?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let w = the width of the original quilt <BR>\n" );
document.write( "then<BR>\n" );
document.write( "(w+8) = the length of the original quilt<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Sewing a 4\" border around the quilt will add 8\" to each dimension<BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "(w+8) * (w+8+8) = 1920<BR>\n" );
document.write( "(w+8) * (w+16)  = 1920<BR>\n" );
document.write( "FOIL<BR>\n" );
document.write( "w^2 + 16w + 8w + 128 = 1920<BR>\n" );
document.write( "w^2 + 24w + 128 - 1920 = 0<BR>\n" );
document.write( "A quadratic equation<BR>\n" );
document.write( "w^2 + 24w - 1792 = 0<BR>\n" );
document.write( "you can use the quadratic formula, but this will factor to:<BR>\n" );
document.write( "(w-32)(w+56) = 0<BR>\n" );
document.write( "The positive solution is all we want here<BR>\n" );
document.write( "w = 32\" is width of the original quilt<BR>\n" );
document.write( "then<BR>\n" );
document.write( "32 + 8 = 40\" is length </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );