SOLUTION: You are given 400 meters of fence and were told to create a rectangular park with the maximum area given the 400 'meters of fence. What dimensions will park have? Create a sketch

Algebra ->  Equations -> SOLUTION: You are given 400 meters of fence and were told to create a rectangular park with the maximum area given the 400 'meters of fence. What dimensions will park have? Create a sketch      Log On


   

Question 934848: You are given 400 meters of fence and were told to create a rectangular park with the maximum area given the 400 'meters of fence. What dimensions will park have? Create a sketch of park and include all steps used to solve problem to create maximum area by finding a quadratic function for the area and maximizing by finding axis of symmetry for the function. Show all work and clearly label steps
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
proceed with your description and you will find the park is 100 meters on a side, as a square region. This is a very common exercise question.

Let x be the side of one dimension and y be the side of the other dimension. xy=the area, and 2x+2y=400.
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A=xy, for area.
x%2By=200, simplified perimeter.
You want A as a formula with just a single variable; A as a function of the one variable.