document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=306475>Question 306475</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a rectangle has a perimeter of 22 and an area of 30. What is the length of the rectangle's diagonal? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #219356 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=219356\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> xy=30<BR>\n" );
document.write( "x=30/y<BR>\n" );
document.write( "2x+2y=22<BR>\n" );
document.write( "2(30/y)+2y=22<BR>\n" );
document.write( "60/y+2y=22<BR>\n" );
document.write( "(60+2y*y)/y=22<BR>\n" );
document.write( "60+2y^2=22y<BR>\n" );
document.write( "2y^2-11y+60=0<BR>\n" );
document.write( "2(y^2-y+30)=0<BR>\n" );
document.write( "2(y-6)(y-5)=0<BR>\n" );
document.write( "y-6=0<BR>\n" );
document.write( "y=6 ans.<BR>\n" );
document.write( "x*6=30<BR>\n" );
document.write( "x=30/6 <BR>\n" );
document.write( "x=5 ans<BR>\n" );
document.write( "y-5=0<BR>\n" );
document.write( "y=5 ans.<BR>\n" );
document.write( "x*5=30<BR>\n" );
document.write( "x=30/5<BR>\n" );
document.write( "x=6 ans.<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "2*5+286=22<BR>\n" );
document.write( "10+12=22<BR>\n" );
document.write( "22=22<BR>\n" );
document.write( "The diagonal:<BR>\n" );
document.write( "5^2+6^2=c^2<BR>\n" );
document.write( "25+36=c^2<BR>\n" );
document.write( "61=c^2<BR>\n" );
document.write( "c=sqrt61<BR>\n" );
document.write( "c=7.81 ans. for the diagonal. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );