SOLUTION: A rectangular playing field with a perimeter of 100 meters is to have an area of at least 500 square meters. Within what bounds must the length of the rectangle lie?

Question 1057059: A rectangular playing field with a perimeter of 100 meters is to have an area of at least 500 square meters. Within what bounds must the length of the rectangle lie?
Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
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A rectangular playing field with a perimeter of 100 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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x*(50-x) = 500.    ( Notice that 50 = 100/2 is the half of the perimeter (!)}}}

It is your governing equation.

Simplify and solve it:

x^2 - 50x + 500 = 0,

 =  =  = .


Answer. The length L must lie between 25 and :  25 <= L <= . Then the width must be W = 50 - L.

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