SOLUTION: A rectangular playing field with a perimeter of 120 meters is to have an area of at least 500 square meters. Within what bounds must the length of the rectangle lie?

Question 1188435: A rectangular playing field with a perimeter of 120 meters is to have an area of at least 500 square meters. Within what bounds must the length of the rectangle lie?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A rectangular playing field with a perimeter of 120 meters is to have an area of at least 500 square meters. Within what bounds must the length of the rectangle lie?
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10 by 50 ---> 500
30 by 30 ---> 900, the max
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The long version:
P = 2W + 2L = 120
W + L = 60
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W*L >= 500
W*(60 - W) >= 500
W^2 - 60W + 500 >= 0
(W - 10)*(W - 50) >= 0
W >= 10

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