Question 1042964
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A farmer enclosed a rectangular field with 500 m of fencing. (Area of 15400 m sq).

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A. Determine the dimensions of the field?    

   L + W = {{{500/2}}} = 250.   (1)
   L*W   = 15400.         (2)

   Express L = 250 - W from (1) and substitute into (2). You will get

   (250-W)*W = 15400.

   Simplify and solve this quadratic equation.

   {{{W^2 - 250W + 15400}}} = {{{0}}}.

   W = {{{(250 +- sqrt(250^2 - 4*15400))/2}}} = {{{(250 +- 30)/2}}}.

   We select lesser of the two roots W = 110, leaving the greater root for L = 140.

   <U>Answer</U>. The dimensions are 140 m and 110 m.
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