<PRE><B>Question 190793</B>
There are 3 square wheat fields. A man observed that the side of one field was 1 kilometer longer than the side of the smallest field and the side of the largest field was 3 kilometers longer than the side of the smallest field. The total area of the 3 fields is 38 square kilometers. I am suppose to find the area of each field.
I have tried setting up with x+(x+1)+(x+2)=38 or x^2+3x+3x+9
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x^2 is the smallest
(x+1)^2 is another
(x+3)^2 is largest
Add them up
{{{x^2 + x^2+2x+1 + x^2+6x+9 = 38}}}
{{{3x^2 + 8x + 10 = 38}}}
{{{3x^2 + 8x - 28 = 0}}}
(3x+14)*(x-2) = 0
x = 2
Area = 4, 9 and 25
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