document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=895013>Question 895013</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help with this word problem.\r<BR>\n" );
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document.write( "1) A certain rectangle has an area 78 cm^2. If its length is decreased by 3 and its width is increased by 4, it becomes a square. Find the dimension of the original rectangle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #542506 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=542506\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A certain rectangle has an area 78 cm^2. If its length is decreased by 3 and its width is increased by 4, it becomes a square. Find the dimension of the original rectangle.<BR>\n" );
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document.write( "let x=length of original rectangle<BR>\n" );
document.write( "let y=width of original rectangle<BR>\n" );
document.write( "x*y=78<BR>\n" );
document.write( "y=78/x<BR>\n" );
document.write( "x-3=y+4<BR>\n" );
document.write( "x-3=78/x+4<BR>\n" );
document.write( "x^2-3x=78+4x<BR>\n" );
document.write( "x^2-7x-78=0<BR>\n" );
document.write( "(x+6)(x-13)=0<BR>\n" );
document.write( "x=-6(reject)<BR>\n" );
document.write( "x=13<BR>\n" );
document.write( "y=78/13=6<BR>\n" );
document.write( "length of original rectangle=13 cm<BR>\n" );
document.write( "width of original rectangle=6 cm </SPAN>\n" );
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