document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=837433>Question 837433</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of a rectangle is 10cm and breadth is 8cm. When the length and breadth are increased by the same amount, the Area becomes 99cm squared. Find the increase in the length and breadth. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #504593 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=504593\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The length of a rectangle is 10cm and breadth is 8cm. When the length and breadth are increased by the same amount, the Area becomes 99cm squared. Find the increase in the length and breadth.<BR>\n" );
document.write( "***<BR>\n" );
document.write( "let x=increase in the length and breadth.<BR>\n" );
document.write( "10+x=new length<BR>\n" );
document.write( "8+x=new width<BR>\n" );
document.write( "Area=length*width<BR>\n" );
document.write( "..<BR>\n" );
document.write( "(10+x)(8+x)=99<BR>\n" );
document.write( "80+18x+x^2=99<BR>\n" );
document.write( "x^2+18x-19=0<BR>\n" );
document.write( "(x+19)(x-1)=0<BR>\n" );
document.write( "x=-19 (reject, x>0)<BR>\n" );
document.write( "or <BR>\n" );
document.write( "x=1<BR>\n" );
document.write( "increase in the length and breadth=1cm </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );