document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=377431>Question 377431</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The neighborhood children have been cutting diagonally across her lawn instead of walking around the yard. If the diagonally distance across the lawn is 30 feet and the longer part of the sidewalk is twice the shorter lenght, how many feet, are the children saving by cutting across the lawn? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #268204 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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/cgi-bin/show-face.mpl?user=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=268204\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The neighborhood children have been cutting diagonally across her lawn instead of walking around the yard. If the diagonally distance across the lawn is 30 feet and the longer part of the sidewalk is twice the shorter lenght, how many feet, are the children saving by cutting across the lawn?<BR>\n" );
document.write( "...<BR>\n" );
document.write( "diagonal = 30 feet<BR>\n" );
document.write( "..<BR>\n" );
document.write( "on side = x<BR>\n" );
document.write( "other side 2x<BR>\n" );
document.write( "...<BR>\n" );
document.write( "right triangle<BR>\n" );
document.write( "x^2+(2x)^2=30^2<BR>\n" );
document.write( "x^2+4x^2= 900<BR>\n" );
document.write( "5x^2=900<BR>\n" );
document.write( "/5<BR>\n" );
document.write( "x^2= 180<BR>\n" );
document.write( "..<BR>\n" );
document.write( "x= +/- sqrt(180)<BR>\n" );
document.write( "x= +13.4 feet one side<BR>\n" );
document.write( "other side = 2* 13.4 = 26 .8 feet<BR>\n" );
document.write( "...<BR>\n" );
document.write( "sum of sides = 13.4 +26.8 = 40.2 feet<BR>\n" );
document.write( "hypotenuse = 30<BR>\n" );
document.write( "difference = 40.2-30=10.2 feet is waht they save.\r<BR>\n" );
document.write( "\n" );
document.write( "...<BR>\n" );
document.write( "m.ananth@hotmail.ca </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );