document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=208038>Question 208038</A>: <I><SPAN STYLE=\"word-break: break-all;\"> While finding the amount of seed needed to plant his 3 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 3 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 #157351 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=157351\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = side of smallest field<BR>\n" );
document.write( "x+1= side of second field<BR>\n" );
document.write( "x+3 = side of third field\r<BR>\n" );
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document.write( "Area = x^2 + (x+1)^2 + (x+3)^2 = 38\r<BR>\n" );
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document.write( "x^2 + x^2 + 2x + 1 + x^2 + 6x + 9 = 38<BR>\n" );
document.write( "3x^2 + 8x +10 = 38\r<BR>\n" );
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document.write( "3x^2 + 8x -28=0<BR>\n" );
document.write( "(3x+14)(x-2)=0\r<BR>\n" );
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document.write( "Two solutions:<BR>\n" );
document.write( "3x+14 = 0<BR>\n" );
document.write( "3x= -14<BR>\n" );
document.write( "x=-14/3   Reject negative answers\r<BR>\n" );
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document.write( "x-2=0<BR>\n" );
document.write( "x=2<BR>\n" );
document.write( "A=4 km^2\r<BR>\n" );
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document.write( "x+1=3<BR>\n" );
document.write( "A=9 km^2\r<BR>\n" );
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document.write( "x+3= 5<BR>\n" );
document.write( "A= 25 km^2\r<BR>\n" );
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document.write( "Check:\r<BR>\n" );
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document.write( "Total area = 4 + 9 + 25= 38 km^2\r<BR>\n" );
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document.write( "R^2\r<BR>\n" );
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document.write( "Dr. Robert J. Rapalje, Retired </SPAN>\n" );
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