Barry has 20 m wire mesh. He would like to enclose as large as possible a rectangular a chicken coop using a barn wall as one of the sides. What values for the length and width will give him the largest area?

Move the red point to change the dimensions of the coop.

- With each choice of the width, one height is determined since the perimeter of the chicken coop is fixed. What function type could the area function be?
- Create a formula for the coop size then set up a formula for the function
. Determine the maximum and the optimal shape computationally.*F(A)* - What can Barry state an useful rule for such cases?

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