Question 220981: 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?
I understand x^2 , x+1, x+3, however, when I write the equation to separate I cannot get to area of each field if total is 38. Thank you, Brett
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! 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?
:
I understand x^2 , x+1, x+3, however, when I write the equation to separate I cannot get to area of each field if total is 38.
:
I think it should be:
x^2 + (x+1)^2 + (x+3)^2 = 38
FOIL
x^2 + x^2 + 2x + 1 + x^2 + 6x + 9 = 38
Combine like terms
3x^2 + 8x + 10 = 38
:
3x^2 + 8x + 10 - 38 = 0
:
3x^2 + 8x - 28 = 0
Factors to
(3x + 14)(x - 2) = 0
Positive solution
x = 2 km
;
The three field sides, 2, 3, 5
;
Check:
2^2 + 3^2 + 5^2 = 38
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