document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=144909>Question 144909</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need some help with this word problem.  Any help would be greatly appreciated.  Thanks.\r<BR>\n" );
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document.write( "A photo is 3 inches longer that it is wide. A 2-inch border is placed around the photo making the total area of the photo and border 108in2. What are the dimensions of the photo? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #105601 by </B><A HREF=/tutors/aboutme.mpl?userid=jojo14344><B>jojo14344(1513)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jojo14344><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=105601\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Sure! Let's start with the unknown ---- width = \"x\".<BR>\n" );
document.write( "And we know the length is 3 inches longer, so length= \"x+3\" .<BR>\n" );
document.write( "Now you attached 2-inch border around it, meaning you extended the orig. width 2inches on the left side and 2 inches on the right side right? So the new width dimension will be \"x+2+2\"= \"x+4\". Likewise the length is extended 2 inches on the top and 2 inches on the bottom, so it's new dimension will be \"x+3+2+2\" = \"x+7\".<BR>\n" );
document.write( "Here we gonna use the area given with the photo and the border plus the new dimensions right? So going back in finding the area of rectangle,<BR>\n" );
document.write( "A= (x+4)(x+7)  ------------ eqn 1<BR>\n" );
document.write( "108= x^2 + 11x + 28<BR>\n" );
document.write( "x^2 + 11x -80 = 0<BR>\n" );
document.write( "so (x+16)(x-5) right?<BR>\n" );
document.write( "It has 2 values, x= -16 which we can't use being negative<BR>\n" );
document.write( "x= 5... perfect! This the one to use.<BR>\n" );
document.write( "Therefore going back to orig. dimension we can get the size of the photo, where the width = x= 5 inches. Also the length = x+3=5+3= 8inches.<BR>\n" );
document.write( "In doubt? Go back eqn 1<BR>\n" );
document.write( "A= (5+4)(5+7)<BR>\n" );
document.write( "108in^2 = 9*12<BR>\n" );
document.write( "108in^2 = 108in^2   <BR>\n" );
document.write( "thank you,<BR>\n" );
document.write( "Jojo\r<BR>\n" );
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