document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=380768>Question 380768</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Winter wheat. While finding the amount of seed needed<BR>\n" );
document.write( "to plant his three square wheat fields, Hank observed that<BR>\n" );
document.write( "the side of one field was 1 kilometer longer than the side<BR>\n" );
document.write( "of the smallest field and that the side of the largest field<BR>\n" );
document.write( "was 3 kilometers longer than the side of the smallest field.<BR>\n" );
document.write( "If the total area of the three fields is 38 square kilometers,<BR>\n" );
document.write( "then what is the area of each field? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #270242 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=270242\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Winter wheat. While finding the amount of seed needed<BR>\n" );
document.write( "to plant his three square wheat fields, Hank observed that<BR>\n" );
document.write( "the side of one field was 1 kilometer longer than the side<BR>\n" );
document.write( "of the smallest field and that the side of the largest field<BR>\n" );
document.write( "was 3 kilometers longer than the side of the smallest field.<BR>\n" );
document.write( "If the total area of the three fields is 38 square kilometers,<BR>\n" );
document.write( "then what is the area of each field?<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Let the side of the smallest field be \"x\": Area = x^2<BR>\n" );
document.write( "Side of middle field is \"x+1\": Area = (x+1)^2<BR>\n" );
document.write( "Side of largest field is \"x+3\": Area = (x+3)^2<BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "x^2 + x^2+2x+1 + x^2+6x+9 = 38<BR>\n" );
document.write( "----<BR>\n" );
document.write( "3x^2 + 8x + 10 = 38<BR>\n" );
document.write( "---<BR>\n" );
document.write( "3x^2 + 8x - 18 = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "x = 1.456<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x^2 = 2.12 <BR>\n" );
document.write( "(x+1)^2 = 2.456^2 = 6.03<BR>\n" );
document.write( "(x+3)^3 = 4.456^2 = 19.86<BR>\n" );
document.write( "===========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "-----\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );