A pig farm has 1000 feet of fence, but the 4 different pigs must be kept in separate pins. There is also a road along one edge and a fence along the road is not needed. What are the dimensions needed to maximize the area of each pin? What is the area for each pin? This is a quadratic test by the way, please help!

Respuesta :

Answer:

The Dimensions of each pin are [tex]100 X 100[/tex] ft in square shape.

The area of each pin is [tex]A = (100)^{2} = 10000 ft^{2}[/tex]

Step-by-step explanation:

It is given that the total length of fence is 1000 feet.

The let the measure of each side of fence pin be "x" , as  shown in the figure.

The total sum of the length is [tex]10x[/tex].

This, [tex]10x = 1000[/tex]

[tex]x = 100 ft[/tex]

Thus the dimensions of each side of pin is 100 ft.

The area of square is given by, [tex]A = x^{2} = (100)^{2} = 10000 ft^{2}[/tex]

Thus the area of each symmetric pin is 10000[tex]ft^{2}[/tex].

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