# math 099

a rancher wants to use 300 feet of fencing to enclose a rectangular area of 4400 square feet. what dimensions should the rectangle have?

1. 👍 0
2. 👎 0
3. 👁 329
1. length = x
width = y

x+y = 150 , y = 150-x

xy = 4400
x(150-x) = 4400
expanding and simplifying...
x^2 - 150x + 4400 = 0
(x-110)(x-40) = 0
x = 110 or x=40

if x=110, then y = 40
if x = 40, then y = 110

the dimenstions should be 110 ft by 40 ft

check: 2(110+40) = 300
(110)(40) = 4400

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Math

1. A gardener has 140 feet of fencing to fence in a rectangular vegetable garden. Find the dimensions of the largest area he can fence. Find the possible rectangular area he can enclose. 2. Suppose a farmer has a large piece of

2. ### Algebra

The back of Tom's property is a creek. Tom would like to enclose a rectangular area, using the creek as one side and fencing for the other three sides, to create a corral. If there is 100 feet of fencing available, what is the

3. ### Math

Eighty metres of fencing are available to enclose a rectangular area. What are the dimensions that enclose the max area. What is max area?

4. ### Algebra

The back of George's property is a creek. George would like to enclose a rectangular area, using the creek as one side and fencing for the other three sides, to create a pasture. If there is 300 feet of fencing available, what is

1. ### math

if a gardener fences in the total rectangular area shown in the illustration instead of just the square area,he will need twice as much fencing to enclose the garden.how much fencing will he need ?

2. ### math

The back of Dante's property is a creek. Dante would like to enclose a rectangular area, using the creek as one side and fencing for the other three sides, to create a pasture. If there is 720 feet of fencing available, what is

3. ### College Algebra

You have 800 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river,find the length and width of the plot that will maximize the area. What is the largest area that can

4. ### Math

John wants to build a corral next to his barn.He has 300 feet of fencing to enclose three sides of his rectangular yard. a. What is the largest area that can be enclosed? b. What dimensions will result in the largest yard?

1. ### Calculus 1

If you have 280 meters of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose?

2. ### algebra

A rancher has 4 comma 7004,700 feet of fencing available to enclose a rectangular area bordering a river. He wants to separate his cows and horses by dividing the enclosure into two equal areas. If no fencing is required along

3. ### math

An ostrich farmer wants to enclose a rectangular area and then divide it into 4 pens with fencing parallel to one side of the rectangle. There are 720 feet of fencing available to complete the job. What is the largest possible

4. ### Math

A pig farmer wants to enclose a rectangular area and then divide it into three pens with fencing parallel to one side of the rectangle (see the figure below). There are 940 feet of fencing available to complete the job. What is