document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1121931>Question 1121931</A>: <I><SPAN STYLE=\"word-break: break-all;\"> }llA parcel of land is 5 ft longer than it is wide. Each diagonal from one corner to the opposite corner is 145 ft long. What are the dimensions of the parcel?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #737945 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=737945\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Since the length of the diagonal is a whole number, and the difference between the side lengths is a whole number, the answer is going to have to be a Pythagorean triple.<br><BR>\n" );
document.write( "We can make a \"scale model\" of the parcel of land by dividing everything by 5; that makes the length 1 more than the width, and the diagonal is 29.<br><BR>\n" );
document.write( "Do you recognize a Pythagorean triple with hypotenuse 29?  It is (20,21,29).<br><BR>\n" );
document.write( "So the dimensions of the scale model rectangle are 20x21; the dimensions of the actual parcel are 100x105. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );