document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=250461>Question 250461</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Originally the dimensions of a rectangle were 20 cm by 23 cm.  When both dimensions were decreased by the same amount, the area of the rectangle decreased by 120 cm (squared).  Find the dimensions of the new rectangle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #185083 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=185083\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (20-x)(23-x)=20*23-120<BR>\n" );
document.write( "460-43x+x^2=460-120<BR>\n" );
document.write( "x^2-43x+460-460+120=0<BR>\n" );
document.write( "x^2-43x+120=0<BR>\n" );
document.write( "(x-40)(x-3)=0<BR>\n" );
document.write( "x-3=0<BR>\n" );
document.write( "x=3 cm. is the decrease in size of both sides.<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "(20-3)(23-3)=20*23-120<BR>\n" );
document.write( "17*20=460-120<BR>\n" );
document.write( "340=340 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );