A 120-m long fence is to be cut into pieces to make three enclosures, each of which is square. How should the fence be cut up in order to minimize the total area enclosed by the fence?

Step-by-step explanation:

Given

total Length of Fence is

this length is divided to three square such that their area is minimum

suppose the side of three squares is x,y and z

Perimeter of squares

thus

thus

Total area

Thus

Using lagrange's multiplying method we get

thus

thus

so fence should be cut into equal parts of 40 cm each

450 is the final answer! : )

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square