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You have 1200 feet of fencing and you want to make two fenced in enclosures by splitting one enclosure in half. What are the largest dimensions of this enclosure that you could build?

Respuesta :

Answer: 300x200

Step-by-step explanation: First of all...Your perimeter equals 2x+3y. X=length, y=width.

2x+3y=1200

3y=1200-2x

y=400-(2/3)x

y=400-(2/3)x

Your Area = xy=x(400-2x/3)=400x-2^2/3

dA/dx=400-4x/3=0

4x/3=400

4x=1200

x=300ft length

y=400-(2/3)(300)=200ft

I hope this helps you!

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