You have a 60-foot roll of fencing and a large field. You want to make two paddocks by continuing the fencing down the middle of a rectangular enclosure. What are the dimensions of the largest such enclosure you can make?

The dimension of the largest enclosure is width=10ft and length = 15ft

Explanation:

Let the width of the enclosure = a

Let the length of the enclosure = L

Let the area of the enclosure = A

3w + 2l = 60 ...eq1

A = we ...eq2

From eq1

2l = 60 - 3w

Put 2l = 60 - 3w in eq2

A = w(60 - 3w)/2

A = w(30 - (3/2)w^2

If A =0 , find the roots.

The maximum will be?

-b/2a this is exactly halfway between the roots

-(3/2)w^2 + 30w =0

-b = -30

2a = -(3/2)

-b/2a = -30/-3

w = 10ft

Put w = 10ft in eq 1

3(10) + 2l = 60

30 + 2l = 60

2l = 60 - 30

l = 30/2

l = 15ft

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the dependent variable, the one that you measure the response in, is the distance that the washers travel.

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2