SOLUTION: The perimeter of a rectangular field is 140 yards. The land sells for $10/yd^2 and the total cost o the land is $12,000. What are the dimensions of the field?

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Question 135391: The perimeter of a rectangular field is 140 yards. The land sells for $10/yd^2 and the total cost o the land is $12,000. What are the dimensions of the field?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The perimeter of a rectangular field is 140 yards. The land sells for $10/yd^2 and the total cost of the land is $12,000. What are the dimensions of the field?
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$12000/$10 = 1200 yd^2
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EQUATIONS:
L*W = 1200
L+W = 70
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L = 1200/W
(1200/W) + W = 70
1200 + W^2 = 70W
W^2-70W+1200 = 0
W = [70 +- sqrt(70^2-4*1200)]/2
W = [70 +- srt(100)]/2
W = [70 +- 10]/2
W = 40 then L=30
OR
W = 30 then L = 40
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Cheers,
Stan H.