document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=98207>Question 98207</A>: <I><SPAN STYLE=\"word-break: break-all;\"> While finding the amount of seed needed to plant his three square wheat fields, Hank observed that the side of one field was 1 kilometer longer than the side of the smallest field and that the side of the largest field was 3 kilometers longer than the side of the smallest field. If the total area of the three fields is 38 square kilometers, 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 #71647 by </B><A HREF=/tutors/aboutme.mpl?userid=303795><B>303795(602)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=303795><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=71647\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the side of the small field is x then the next field will have a side of (x+1) and the last field has a side length of (x+3).\r<BR>\n" );
document.write( "\n" );
document.write( "The total area of the three square fields will be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B%28x%2B1%29%5E2%2B%28x%2B3%29%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2B%28x%2B1%29%5E2%2B%28x%2B3%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bx%5E2%2B2x%2B1%2Bx%5E2%2B6x%2B9 ALIGN=MIDDLE  ALT=\"x%5E2%2Bx%5E2%2B2x%2B1%2Bx%5E2%2B6x%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2%2B8x%2B10 ALIGN=MIDDLE  ALT=\"3x%5E2%2B8x%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is equal to the total area of 38 so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2%2B8x%2B10=38 ALIGN=MIDDLE  ALT=\"3x%5E2%2B8x%2B10=38\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2%2B8x-28=0 ALIGN=MIDDLE  ALT=\"3x%5E2%2B8x-28=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Factorise<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%283x%2B14%29=0 ALIGN=MIDDLE  ALT=\"%28x-2%29%283x%2B14%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so x=2 or x=-4 2/3<BR>\n" );
document.write( "Only a positive value makes sense<BR>\n" );
document.write( "so the fields have a side length of 2, 3 and 5.<BR>\n" );
document.write( "A check of these values shows the total area = 4 + 9 +25 = 38.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );