document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=757539>Question 757539</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A couple of girls go for a horse race clockwise around the outside of a rectangular field. <BR>\n" );
document.write( "The rectangular field has 'a' as the shortest side and 'b' as the long side of a rectangle.<BR>\n" );
document.write( "Mary runs all around the field for a total of 20km. Annabelle only gets half way along the first side marked with 'b' before cutting straight across the field, before heading back to the start. She in total rides for 16 km. What are the dimensions of the field? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #460889 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=460889\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A horse race clockwise around the outside of a rectangular field.<BR>\n" );
document.write( "The rectangular field has 'a' as the shortest side and 'b' as the long<BR>\n" );
document.write( " side of a rectangle.<BR>\n" );
document.write( "Mary runs all around the field for a total of 20km. Annabelle only<BR>\n" );
document.write( " gets half way along the first side marked with 'b' before cutting<BR>\n" );
document.write( " straight across the field, before heading back to the start.<BR>\n" );
document.write( " She in total rides for 16 km. What are the dimensions of the field?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Mary's perimeter<BR>\n" );
document.write( "2a + 2b = 20<BR>\n" );
document.write( "Simplify, divide by 2<BR>\n" );
document.write( "a + b = 10<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Anna's perimeter<BR>\n" );
document.write( "2a + 2(.5b) = 16<BR>\n" );
document.write( "simplify, divide by 2<BR>\n" );
document.write( "a + .5b = 8<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Using eliminatation<BR>\n" );
document.write( "a + b = 10<BR>\n" );
document.write( "a +.5b = 8<BR>\n" );
document.write( "------------ subtracting eliminates a, find b<BR>\n" );
document.write( "0 + .5b = 2<BR>\n" );
document.write( "b = 4; (multiplied by 2)<BR>\n" );
document.write( "then<BR>\n" );
document.write( "a + 4 = 10<BR>\n" );
document.write( "a = 6; (subtracted 4 from both sides)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "4 by 6 is the dimensions </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );