Question 971355

I am building a fence to keep two dogs separated. I have 600 feet of fence. I can build a circular pen, which I will divide with a diameter giving each dog the equal amount of space or I can build a square pen and divide it diagonally giving each dog equal space. Show the solution of each formation and provide a labeled diagram and the algebra leading to the solution and determine which fence I should build
<pre>Area of circular pen: 16,483.8 sq ft, which means that each dog will have: {{{16483.8/2}}}, or {{{highlight_green(8241.9)}}} sq ft of space
Area of square pen: 12,280.94 sq ft, which means that each dog will have: {{{12280.94/2}}}, or {{{highlight_green(6140.47)}}} sq ft of space
You decide which one should be built.