# math

a farmer is building a fence around his yard. one side of the fence will be the side of his barn , the other three sides will be made of wood. He has enough materials for 120m of fence, what is the maximum area he can enclose ? what are the dimensions which give this area

1. 👍 0
2. 👎 0
3. 👁 82
1. Let x- is the side of the barn.
The area of the yard
A(x)=x*(120-x)/2=60x-x^2/2
A'(x)=60-x=0 => x=60,(120-x)/2=30
max A=1800m^2

1. 👍 0
2. 👎 0
posted by Mgraph

## Similar Questions

1. ### math

a farmer is building a fence around his yard. one side of the fence will be the side of his barn , the other three sides will be made of wood. He has enough materials for 120m of fence, what is the maximum area he can enclose ?

asked by melissa on May 15, 2011
2. ### MATH

A farmer wants to fence a small rectangular yard next to a barn. Fence for side parallel to the barn will cost 50 per foot and the fence for the other two sides will cost20 per foot. The farmer has a total of 2000 dollars to spend

asked by LAY on October 23, 2016
3. ### calculus

a farmer wishes to fence off a rectangular plot of land, using an existing wall as one of the sides . the total are enclosed must be 600 square yards. the fence on the side parallel to the wall will cost 20\$ per yard, while the

asked by tttt on April 2, 2014
4. ### math

A farmer wants to fence a small rectangular yard next to a barn. Fence for side parallel to the barn will cost 75 per foot and the fence for the other two sides will cost 30 per foot. The farmer has a total of 1750 dollars to

asked by tim on February 12, 2015
5. ### math

A farmer wants to fence a small rectangular yard next to a barn. Fence for side parallel to the barn will cost 75 per foot and the fence for the other two sides will cost 30 per foot. The farmer has a total of 1750 dollars to

asked by Sam on February 12, 2015
6. ### Calculus

A home owner wants to fence in his yard of 600 sq. feet. Three sides are to be constructed with chain link fence at a cost of 3.25 per linear feet. The fourth side is to be constructed with a wood stockade fence at a cost of \$5.45

asked by Jen on December 7, 2015
7. ### College Math

farmer wishes to fence a rectangular area along the river bank. No fence is required on the side adjacent to the river. The material for the fence costs P16.00 per meter for the side parallel to the river, P12.00 per meter for the

asked by J on August 25, 2010
8. ### algebra

A farmer has 25 yards of fencing to make a pig pen. He is going to use the side of the barn as one of the sides of the fence, so he only needs to fence 3 sides. What should be the dimensions of the fence in order to maximize the

asked by kk on February 18, 2015
9. ### algebra

A farmer has 25 yards of fencing to make a pig pen. He is going to use the side of the barn as one of the sides of the fence, so he only needs to fence 3 sides. What should be the dimensions of the fence in order to maximize the

asked by shamsia on December 19, 2017
10. ### math

A farmer has 25 yards of fencing to make a pig pen. He is going to use the side of the barn as one of the sides of the fence, so he only needs to fence 3 sides. What should be the dimensions of the fence in order to maximize the

asked by A farmer has 25 yards of fencing to make a pig pe on December 21, 2018

More Similar Questions