document.write( "Question 161327: I need help please!!! I can't figure this out at all.
\n" ); document.write( "While finding the amount of seed to plant his three suare 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?
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Algebra.Com's Answer #118819 by vleith(2983)\"\" \"About 
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Find the length of the side on each field.
\n" ); document.write( "Let X be the length of the smallest field.
\n" ); document.write( "You are told the second field has a side length 1 kilo longer. So its side is (X+1)
\n" ); document.write( "You are also told the third field has a side length of (X+3)\r
\n" ); document.write( "\n" ); document.write( "The area of a square is given by \"A+=+s%5E2\" where s is the length of one side
\n" ); document.write( "The total area of all 3 fields is given as 38 Km^2. \r
\n" ); document.write( "\n" ); document.write( "All we need to do now is add the three fields and then solve for X
\n" ); document.write( "\"TotalArea+=+Area1+%2B+Area2+%2B+Area3\"
\n" ); document.write( "\"38+=+X%5E2+%2B+%28X%2B1%29%5E2+%2B+%28X%2B3%29%5E2+\"
\n" ); document.write( "\"38+=+X%5E2+%2B+%28X%5E2+%2B+2X+%2B1%29+%2B+%28X%5E2+%2B+6X+%2B+9%29\"
\n" ); document.write( "\"38+=+3X%5E2+%2B+8X+%2B+10+\"
\n" ); document.write( "\"0+=+3X%5E2+%2B+8X+-+28\"
\n" ); document.write( "\"0+=+%283X+%2B+14%29%28X+-+2%29\"\r
\n" ); document.write( "\n" ); document.write( "So either \"3x%2B14+=+0\" or \"X-2+=+0\"
\n" ); document.write( "Thus either \"x+=+-14%2F3\" or \"X=2\"
\n" ); document.write( "Since the length cannot be negative, the answer must be 2.\r
\n" ); document.write( "\n" ); document.write( "The small field is 2x2, the middle one is 3x3 and the largest one is 5x5.
\n" ); document.write( "Is 4 + 9 + 25 = 38?
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